Surface area and volume of cone

Surface Area And Volume Of Cone

Answers

Answer 1

The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

What is volume?

Volume is the capacity of an object.

To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.

Formula:

S = πr√(r²+h²)............. Equation 1V = πr²h.................. Equation 2

Where:

S = Surface area of the coneV = Volume of the coner = Radius of the base of thye coneh = Vertical height of the cone.

From the diagram,

Given:

r = 10 kmh = 24 kmπ = 3.14

Substitute these values into equation 1 and equation 2 respectively.

S = 3.14×10[√(24²+10²)S = 31.4(√676)S = 31.4×26S = 816.4 km²

Also for the volume of tyhe cone

V = 3.14×10²×24V = 7536 km³

Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

Learn more about volume here: https://brainly.com/question/1972490

#SPJ1


Related Questions

A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56.
What is the x-intercept of the continuous function shown in the table?

(0, –8)
(0, 2)
(–8, 0)
(2, 0)

Answers

Answer: i think option c

Step-by-step explanation:

simple interest = Pxrxt
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges joe a simple interest rate of 4 percent?

Answers

Answer:

$18.Hope it helps.....

Pls kindly help, it's urgent​

Answers

Answer: 6400

Hope this helps!

there are 5 green,7blue and 3 red pens. if one ball pen is chosen at random, then what is the probability of getting a red pen??​

Answers

Answer:

1/5

Step-by-step explanation:

there are 15 pens totally, there are 3 red pens.

probability-> 3/15=1/5

Tell me which colors the answer is! QUICK You"LL GET A CHANCE TO GET POINTS!

Answers

Answer: I think it’s $15.71

Step-by-step explanation:

Answer:

red I think

Step-by-step explanation:

If x = 3 (y + w) minus 1 what is the value of w in terms of x and y?

Answers

Answer:

Step-by-step explanation:

Discussion

The object of this is make w by itself on one side of the equation.

Equation

x = 3 (y + w) - 1               Add 1 to both sides of the equation.

x + 1 = 3(y + w) - 1 + 1      Combine

x + 1 = 3(y + w)                 Remove the Brackets

x + 1 = 3y + 3w                 Notice y and w are affected by the 3. Subtract 3y

x + 1 - 3y = 3y-3y + 3w   Combine

x + 1  = 3w                       Divide both sides by 3

(x +1)/3 = 3w/3  

(x + 1)/3 = w

Answer: (x + 1)/3 = w

2. Determine the cost to cover the top of the fire pit with a piece of sheet metal that costs $25 per square foot. (6 points)

3. Determine the cost to lay down pebbel in the seating area one bag of pebbels covers 5 ft² and costs $8.99​​

Answers

Answer:
39
I put that and got it right :)

Using negative numbers, what is 4+(-5) ?

Answers

-1 is the answer because 4-5= 1_

Answer:

-1

Step-by-step explanation:
4+(-5) is basically 4-5 which is -1

Mike wants to conduct a survey to find how much time the students of his school spent watching television. Which of the following is an appropriate statistical question for this survey?

Answers

Answer:

c

Step-by-step explanation:

Answer:

How many hours a week do you watch televison?

Step-by-step explanation:

In order for Mike to organize a survey about this particular topic, it's important that he asks concise questions that provide him with generalized data about multiple days of the week. Because of this, he wouldn't want to ask any questions that solely focus on specific days, so we can use process of elimination to get rid of answer choices C and D. Both of these options are too specific, and only ask about 1 or 2 days instead of a larger period of time. Using the same logic, we can get rid of option A. Option A is also too specific, but for a different reason. This question is only asking about students who watch televison for an hour everyday. Remember, for good surveys, more results provide a better sample of data. So it's important that the questions asked are coherent, but also don't limit the amount of data received either.

How many matchs played in a 5 team round robin

Answers

[tex]\huge[\sum_{k=0}^{4}(k)][/tex] [tex] = 0+1+2+3+4=\boxed{10} [/tex]

=[tex]\huge(\binom {5}{2}) [/tex] [tex] =(5!)/(3! \times 2!) = (5\times 4)/(2)= \boxed{10}[/tex]

Since there are 5 teams..

The number of matches played in a 5 team round Robin is 10.

How does round robin tournament work for 5 teams?

A round-robin tournament is a sports competition where each player or team competes against every other player or team; each contestant faces off against the other contestant in turn. A round-robin tournament differs from an elimination tournament in that participants are eliminated after a set number of losses.

From 5 teams we choose 2 to form combinations (need combinations of 2 different teams to play a match).

Here, 5C2 = 5!/2!(5-2)!

= 5×4×3×2!/2!×3!

= 10

Hence, the number of matches played in a 5 team round Robin is 10.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ7

While holding her puppy, Tammy steps on a scale. The scale reads 127 pounds. Alone, Tammy weighs 112 pounds. Write and solve an addition equation to find the weight of Tammy's puppy. Use the variable P.

Answers

equation: 127-112=P
answer:P=15

What are the zeros of the quadratic function f(x) = 6x- + 12x-7?

Answers

Answer:

Number 1

Step-by-step explanation:

Vertex is (−1,−13)

[tex]~~~~~6x^2 +12x -7 =0\\\\\implies x^2 +2x - \dfrac 76=0\\\\\implies x^2+2x = \dfrac76\\\\\implies x^2 +2x +1 = \dfrac 76 +1\\\\\implies (x+1)^2 = \dfrac{13}6\\\\\implies x+1 = \pm \sqrt{ \dfrac{13}6}\\\\\implies x = -1 \pm\sqrt{\dfrac{13} 6}\\\\\text{Hence,}~ x = -1 +\sqrt{\dfrac{13} 6}~~ \text{and}~~ x = -1-\sqrt{\dfrac{13} 6}[/tex]

2. Rewrite the expression below using the Associative Property of Multiplication: (ab)c

A. (ba)c
B. c(ab)
C. abc
D. a(bc)
E. All of the above​

Answers

E) all of the above

As long as the letters are all multiplying each other, the letters can be arranged in any way in accordance with the property

PLEASE HELP
For the right triangle below, find the measure of the angle.
Figure is not to scale.

Answers

use tan since you are given the opposite and adjacent sides

tan θ = [tex]\frac{opp}{adj}\\\\[/tex]

tan θ = [tex]\frac{2}{12}[/tex]

use the inverse of tan to find the angle

θ = [tex]tan^{-1}(\frac{2}{12})[/tex]

θ = 9.462322208...

θ = 9.46°

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?

Answers

Answer:

Using the Empirical Rule, we find that .997 (99.7%) of students have grade point averages that are between 1.23 and 3.81.

Step-by-step explanation:

Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.

[tex]\displaystyle z=\frac{1.23-2.52}{.43} = \frac{-1.29}{.43}= -3[/tex] [tex]\displaystyle z=\frac{3.81-2.52}{.43}= \frac{1.29}{.43} =3[/tex]

We want to find the area between the z-scores of -3 and 3.

The Empirical Rule tells us that 99.7% of the data lies within three standard deviations under the normal curve.

Therefore, the area between -3 < z < 3 is about .997, or around 99.7%.

A number a is a root of P(x) if and only if the remainder, when dividing the
polynomial by x + a, equals zero.
O A. True
O B. False
Answers is false

Answers

Answer:  False

Reason: It should be x-a instead of x+a

Answer to number 6 please

Answers

Answer:

Step-by-step explanation:

C

my last question pls don’t lie

Answers

Answer:

3.6 in

Step-by-step explanation:

1/2 ft= 6in

1/5 ft= 2.4 in

so 6-2.4= 3.6 in

Hope this helps :)

NO LINKS!! PART 3. Please help me with these graphs​

Answers

Answer:

[tex]\textsf{13)} \quad y=(x+5)^2+4[/tex]

[tex]\textsf{14)} \quad y=-\dfrac{1}{2}(x-2)^2-3[/tex]

Step-by-step explanation:

Vertex form of a parabola:  

[tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Question 13

From inspection of the graph, the vertex is (-5, 4)

[tex]\implies y=a(x+5)^2+4[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (-4, 5):

[tex]\implies a(-4+5)^2+4=5[/tex]

[tex]\implies a(1)^2+4=5[/tex]

[tex]\implies a+4=5[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+5)^2+4[/tex]

Question 14

From inspection of the graph, the vertex is (2, -3)

[tex]\implies y=a(x-2)^2-3[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (0, -5):

[tex]\implies a(0-2)^2-3=-5[/tex]

[tex]\implies a(-2)^2-3=-5[/tex]

[tex]\implies 4a-3=-5[/tex]

[tex]\implies 4a=-2[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]\implies y=-\dfrac{1}{2}(x-2)^2-3[/tex]

#1

Vertex at (-5,4)

Equation

y=a(x+5)²+4

As there is no y inetercept present and the function is same as general quadratic equation y=x^2 just change in coordinates a=1

Final equation

y=(x+5)²+4

#2

Vertex (2,-3)

y=a(x-2)²-3

Use (4,-5)

-4=a(4-2)²-3-1=a(2)²4a=-1a=-1/4

Equation

y=-1/4(x-2)²-3

A computer generates 80 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred 14 16 10 12 4 7 6 11
What is the experimental probability of the computer generating a 2 or a 5?
9%
15%
20%
25%

WILL GIVE BRAINLIST TO THE CORRECT ANSWER!

Answers

I think the answer is 20%

Answer:

25%

Step-by-step explanation:

Use substitution to solve the system.

3x + 5y = 23
x = 3y - 11​

Answers

Answer:

(1,4)

Step-by-step explanation:

Since x is already "alone", you can plug 3y-11 into the x-value for the first equation to get 3(3y-11)+5y=23. Now distribute 3 to the numbers in the parentheses. In the end, the solution to this is (1,4).

Answer:

x=1, y=4

Step-by-step explanation:

Substitute x = 3y - 11

3(3y - 11) + 5y = 23 |

Simplify

|14y – 33= 23 |

Isolate y for 14y-33=23

y=4

For x =3y - 11

Substitute y = 4

X=3• 4- 11

Simplify

X=1,

You are asked to find the space occupied by the shape below. Will you calculate its area or volume? A cube shape. area volume

Answers

Answer:

volume

Step-by-step explanation:

the amount of space enclosed by an object or shape, how much 3-dimensional space

PLEASE QUICK ANSWER!! EXPLAIN WORK!!! FOR BRAINIEST!

Answers

Answer:

x= y−2/3

Step-by-step explanation:

1 Subtract 2 from both sides.

y-2=3x

2 Divide both sides by 3.

y−2/3 =x

3 Switch sides.

x= y−2/3

a researcher for an airline interviews all of the passengers on five random

Answers

Random sampling is the selection of clusters first from the community. Then the correct option is C.

What is random sampling?

Random sampling is the method of selecting the subset from the set to make a statical inference.

A researcher for an airline interviewed all of the passengers on five randomly selected flights.

Cluster sampling is a strategy in which the research splits the overall population into distinct clusters (groups).

Then random sampling is the selection of clusters first from the community.

More about the sample method link is given below.

https://brainly.com/question/15125943

#SPJ1

P(S) = 3/5
P(T) = 1/3
If S and T are mutually exclusive events, find P(S or T).

Answers

Answer:

14/15

Step-by-step explanation:

P(S or T) = P(S) + P(T) = 3/5 + 1/3

= 9/15 + 5/15 = 14/15

Help solve this problem please?

Answers

Answer: z=29 x=119 y=61

Step-by-step explanation:

A ray is 180 degrees and you can go from there. Hope this helps!

How to solve this. A Japanese train can travel 321km in 3hours.At that rate, how could it travel in 5hours?

Answers

Answer:

535km

Step-by-step explanation:

train speed = 321/3 km per hour = 107kmh

in 5 hours, travel distance = speed x time = 107 x 5 = 535km

A bottle was tossed 30 times and recorded whether it landed on its base or on its side. What is the experimental probability that the bottle landed on the base?
a) 3/10
b) 11/30
c) 9/2
d) 3/7

Answers

The experimental probability that the bottle landed on its base by the data recorded is; 3/10.

What is the experimental probability that the bottle landed on the base?

It follows from the frequency recorded for the bottle landing on it's base and side that; base = 9 and side = 21.

The total possible outcome is 30.

On this note, the required probability is; 9/30 = 3/10.

Read more on probability;

https://brainly.com/question/24756209

#SPJ1

Let f(x)=x^2+4x+3 for what values of x will satisfy the equation f(x)=8

Answers

Answer: {-1, 1}
Explanation: If you plug in either 1 or -1 into the equation, it will satisfy the equation f(x) = 8.

Please show your work! I'll give you brainliest as well lol, thanks!

Answers

To know the area of a regular hexagon:

  ⇒ must know the formula:

          [tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]

s: length of the side

Consider the information given:

Length of side ⇒ 5 cm

Let's solve:

  [tex]Area=\frac{3\sqrt{3} }{2} (5)^2=64.95cm^2[/tex]

Answer: 65.0 cm²

Hope that helps!

Answer:

64.1 cm²

Step-by-step explanation:

Central Angle = 360 °

∴ ∠AOB = 360 ° / 12

⇒ Tan 30° = AB/ 4 · 3

⇒ AB = 4.3 tan 30°

∴ (ΔAOB) = 1/2 × AB × OB

= 1/2 × 4.3 tan 30° × 4.3

= 5.34 cm

∴ Area of regular hexagon = 12 (a⊃(ΔAOB))

= 12 (5.34 cm²)

= 64.1 cm²

Other Questions
billy has 2.4m of ribbon for crafts. he wants to share it evenly with 12 friends. how many centimeters of ribbon would 7 friends get What happens when the temperature of the air cools. Identify the actions that indicate that Vincent understands the importance of body language in a job interview. John said he can find 3810 by adding a 0 to the end of 38 to get 380.John finds 46.5210 using the same method and gets 46.520.Use the drop-down menus to complete the statement about why John is correct or incorrect.Which of these procedures is the same as multiplying a whole number by 100? Write an equation that represents the situation. Part A Only trace amounts of the synthetic element darmstadtium, atomic number 110, have been obtained. The element is so highly unstable that no observations of its properties have been possible. Based on its position in the periodic table, propose three different reasonable valence electron configurations for this element Find the value of log1/1000 A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18Create a histogram of this data.To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data. Temperatureto measure the movement of particies such as atoms and molecutes. As temperature increases, what is always true of the particles in a substance?O The rate of movement increases.O The distance between them decreases.O The attraction between them increases The rate of reaction decreases. Which statement best completes this diagram on the fall of the Western Roman Empire? Fall of the Roman Empire The empire is divided into two parts. The Roman government has ineffective leaders. O A. Invaders strike into Roman territory. O B. Hannibal Barca invades Italy and defeats the Roman army. 0 C. Egypt becomes the wealthiest part of the empire. ( D. Dictators weaken the republic. HELPPP IM STUCK ON THIS QUESTIONA business has 4 humidifiers. The cost (in dollars) to buy and maintain the humidifiers for weeks is represented by . Write an expression that represents the cost to buy and maintain one humidifier for weeksa.) 8nb.) 130+8nc.) 130+32nd.) 520+8n which computer looks like a brief case? Identify the simple predicate in the following sentence: "Billy swam to the water's edge." What are properties of a wave How many grams of carbon dioxide are produced when 16 g of methane and 48 g of oxygen gas combust Explain how Smart Cars enhance mobility features? Please help me im begging Describe the scientific method. How did Descartes and Bacon contribute to its development? How did German agression led to ww2? Why Is It Important to include gender in patterns of composition to study populations?OA. because statistics on men are already well knownOB. because women and men are almost always the same percent of the populationOC because gender is more important than race in looking at population densityOD. because women and men have different life expectancies