A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of the base is 8 cm. Determine the volume of the toy. If the cube circumscribes the toy, then find the difference of the volumes of the cube and the toy. Also, find the total surface area of the toy.

Donno.. don't answer ​

Answers

Answer 1

Answer:

See below ~

Step-by-step explanation:

Things to Find

Volume of ToyDifference of Volumes in Cube and ToyTotal Surface of Toy

Volume of Toy

Volume of Hemisphere + Volume (Cone)2/3πr³ + 1/3πr²h1/3πr² (2r + h)1/3 x 3.14 x 16 (8 + 4)1/3 x 50.24 x 1250.24 x 4200.96 cm³

Volume of Circumscribing Cube

Edge length is same as diameterV = (8)³V = 512 cm³

Difference in Volume

512 - 200.96311.04 cm³

Slant height of cone

l² = 4² + 4²l² = 32l = 4√2 cm = 5.6 cm

Surface Area of Toy

CSA (hemisphere) + CSA (Cone)2πr² + πrlπr (2r + l)3.14 x 4 (8 + 5.6)12.56 x 13.6170.8 cm²

Related Questions

select the correct answer. The curved sides of large storage tanks at a refinery need to be painted. What is the approximate area of each tank that will be painted?

Answers

The approximate area of each tank that will be painted is 2287.08 ft².

How to find the lateral surface area of a cylinder?

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' unitsHeight of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

The missing image is attached below.

The tank is cylindrical in shape.

For this case, we've got:

Diamter of the considered cylinder = d = 28 ftHeight of the considered cylinder = h = 26 ft

Radius = half of diameter = 28/2 = 14 ft

Thus, the curved surface area of each of such tanks is:

[tex]S_L = 2\pi r h = 2\pi (14)(26) = 728\pi \approx 2287.08 \: \rm ft^2[/tex]

Thus, the approximate area of each tank that will be painted is 2287.08 ft².

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Answer: 2287.08 ft²

Step-by-step explanation: Correct for plato/Edmentum

Last year, the personal best high jumps of
track athletes in a nearby state were
normally distributed with a mean of
208 cm and a standard deviation of
19 cm What is the probability that a
randomly selected high jumper has a
personal best between 227 and 265 cm?

Answers

Using the normal distribution, it is found that there is a 0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 208, \sigma = 19[/tex]

The probability that a randomly selected high jumper has a personal best between 227 and 265 cm is the p-value of Z when X = 265 subtracted by the p-value of Z when X = 227, hence:

X = 265:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{265 - 208}{19}[/tex]

Z = 3

Z = 3 has a p-value of 0.9987.

X = 227:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{227 - 208}{19}[/tex]

Z = 1

Z = 1 has a p-value of 0.1587.

0.9987 - 0.1587 = 0.84.

0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.

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solve for x (x+3)^2=36

Answers

Answer:

x is about 1.6587 (do the curved equal sign)

Step-by-step explanation:

Checked with symbolab,

So you expand x(x+3)^2

Then -36 from both sides

Then simplify

Then find one solution to x

Then Use long division to get your answer.

Find the surface area

Answers

Answer:

200.96

Step-by-step explanation:

2(3.14)2^2 + 2(3.14)2*14

8*3.14 = 25.12

56*3.14 = 175.84

175.84 + 25.12 = 200.96

A snail can move 5 inches in 6 minutes. At this rate, how many feet can it move in 48 hours?

A. 40

B. 3

C. 200

D. 11

Answers

Answer:

Hi the answer is A. 40

A plumber charges $45 for the first hour and $30 for each additional hour. How much does he charge if it takes him 4 hours to a repair?

Answers

Answer:

135

Step-by-step explanation:

45+30+30+30

Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?

Answers

The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.

What is the height of the model?

A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.

The height of Corbin's model = 604 / 100 = 6.04 inches

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Last one! I promise brainliest!

Answers

Step-by-step explanation:

1. You have to find the gradient / slope from y = 5x + 20

y = 5x + 20

y = mx + c

With using a general form, we known that the gradient of the line is 5.

2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 10 = 5.(x - 0)[/tex]

[tex]y = 5x - 0 + 10[/tex]

[tex]y = 5x + 10[/tex]

Answer:

y = 5x + 10.

Step-by-step explanation:

Y = 5x + 20

The gradient m = 5

So the line parallel to it has a gradient of 5 also.

Using the point slope form of straight line:

y - y1 = m(x - x1)

Here,  m = 5, x1 = 0 and y1 = 10:

y - 10 = 5(x - 0)

y - 10 = 5x

y = 5x + 10.

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this statement?​

Answers

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

What are Domesticated animals?

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

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42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the
coffee mugs at the pancake house are dirty?

Answers

Answer:

84%

Step-by-step explanation:

of the means division.

42/50 = 84/100 = 84%

The percentage of the dirty coffee mugs at the pancake house will

be 84%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of coffee mugs = 50

Dirty coffee mugs = 42

Now,

The  percentage of the dirty coffee mugs at the pancake house is calculated as;

Percent = 42 / 50 x 100

            = 0.84 x 100

            = 84%

Thus, The percentage of the dirty coffee mugs at the pancake house will

be 84%.

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need help please, I dont exactly get how to do this. Thank you!

Answers

Answer:

122

Step-by-step explanation:

180 degrees is in a triangle

180- 45-15= 122

thats how you get your answer

. you subtract the two points from 180 to get the missing point

- AKIA

he original price of a car was $28,500. Its current price is $25,875. What percent did the price of the car decrease?

Answers

Answer:

90.78%

Step-by-step explanation:

So the 100% value of the car=$28500

We don't know the percentage ?% =$25875

So 25875/28500×100=90.78%

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of the training field will be 6933.06 square meters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.

Then the area of the training field will be

Area = area of a rectangle + area of a circle

Then we have

Area = 86 x 54 + 3.14 x 27 x 27

Area = 4644 + 2289.06

Area = 6933.06 m²

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60 students study a language at a school.
Each student either studies French or German.
36 of the students are boys.
2/3 of the boys study French
40 students study French
Use this information to complete the frequency tree

Answers

The number of girls is 24. The number of boys that study French is 24.The numbber of boys that study German is 12.The number of girls that study French is 16The number of girls that study German is 8.

How to fill the frequency tree?

The number of girls = total number of students - total number of boys

60 - 36  = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

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Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if they work together

Answers

Answer:

9 - 3 = 6.

Therefore, the answer equals to 6 hours .

I hope this helps :))

Step-by-step explanation:

if p= the price of a pair of basketball shoes, which algebraic expression represents the phrase below? the difference of the price of the shoes and 5 dollars

Answers

Answer:

$p - $5

or just p - 5

Step-by-step explanation:

I hope this helps

Rewrite the following in the form log(c)
log(6)−log(3)

Answers

Answer:   log(2)

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

[tex]\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)[/tex]

There are different ways to represent 2 2/3 Select the three choices below that represent 2 2/3

Answers

Answer: both of the bars and number line equal 2 2/3

Step-by-step explanation:

The answer is choice A, B, and C.

A motorcycle that regularly sells for 1,450 was discounted by 40% off

Answers

Answer:

$870.00 is the motorcycle price after a 40% discount

Step-by-step explanation:

discount = original price x discount % / 100

discount = 1450 x 40 / 100

discount = 1450 x 0.4

discount = $580.00

Final Price = Original Price - Discount

Final Price = 1450 - 580

Final Price = $870

31. The vector i represents 1 mile per hour east, and the
i
vector j represents 1 mile per hour north. Maria is
jogging south at 12 miles per hour. One of the
following vectors represents Maria's velocity, in miles
per hour. Which one?
A. -12i
B. -12j
C. 12i
D. 12j
E. 12i + 12j

Answers

Answer:

B

Explanation:

The north is opposite to the south

So the vector [tex]j[/tex] represents 1 mile per hour south.

Maria is jogging south at 12 miles per hour.

Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.

The vector used to represent the position of Maria is -12j.

What is Vector?

A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.

Given:

vector i represents 1 mile per hour east

and, vector j represents 1 mile per hour north

Now, the position of north is opposite to south

Now, Maria is jogging south at 12 miles per hour.

So, the vector used to represent the position of Maria is -12j.

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An architect is designing a slanted ramp that connects to a loading dock. The vertical distance between the ground and the loading dock is 5 feet. The ramp meets the ground at a 15° angle. How far is the base of the ramp from the base of the loading dock?

1.34 feet
4.38 feet
5.84 feet
18.66 feet

Answers

Answer:

5.84 feet hope this help you!!

Drag each line to the correct location on the image. Not all lines will be used.

Match the lines of best fit to the scatter plots.

Answers

I will help if you post a picture or something

Answer:

I am not sure if this is correct but:

Step-by-step explanation:

I need a answer quick!

Answers

Answer:

I normally just plug these into desmos.

Step-by-step explanation:

7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8

Answers

Let's see

The integers be

nn+2n+4

So their sum

n+n+2+n+4

Divided by 6

n+n+2+n+4/6

Tune down into ratio

n+n+2+n+4:6

Put final equation on line

n+n+2+n+4:6=8

Spare equations

3n+6:6=8

The correct equation for the statement: 3n+6:6=8

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Let the three consecutive integers be

nn+2n+4

So their sum

n+n+2+n+4

and,

=n+n+2+n+4/6

=(3n+6)/6

= (n+2)/6

Hence, correct equation for the statement: 3n+6:6=8

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Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? coordinate plane with quadrilateral ABCD at A 0 comma 0, B 5 comma negative 1, C 3 comma negative 5, and D negative 2 comma negative 4

Answers

The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".

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The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming
magazine
18 22 14 30 26
(a) What is the mean of the data set?

Answers

Hey there!

What is the mean of the data set?

Answer :

22 ✅

Explanation:

You first have to know what is a mean (or average) :

MEAN : Sum of values divided by the number of values.

[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]

Therefore, the mean of the data set is 22.

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Have a good day :)

The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.

Sum of the chosen pumpkins: 18 + 22 + 14 + 30 + 26Total pumpkins chosen: 5 pumpkins

Therefore, the fraction that represents the mean is:

[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

When we simplify the fraction, we get:

[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 40}{5}[/tex]

[tex]\implies\dfrac{110}{5} = 22[/tex]

Therefore, the mean of the data set is 22.

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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary

Answers

Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

check the attachment pls.​

Answers

Answer:

60 degrees

Step-by-step explanation:

Vertical angles are angles opposite of each other created by intersecting lines.

Vertical angles are always congruent ( equal ) to each other.

So if an angle has a measure of 60 degrees then its vertical angle would also have a measure of 60 degrees

Answer:

60°

Step-by-step explanation:

Vertical angles are angles of the same measure.

One of the vertical angles is 60°. Therefore, the other angle must be 60°.

Hope this helps!!!

Please give me brainliest!!!

I only need one more brainliest for Virturoso so please give me brainliest

verify the identity

tan 0-cot 0 / tan 0 + cot 0 (not on the same line) + 2cos^2 0=1

Answers

Answer:

See below for the proof of the identity

Step-by-step explanation:

I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:

[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]

[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]

Thus, the identity is proven.

The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.

Answers

Answer:

Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...

Step-by-step explanation:

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