A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.

Answers

Answer 1

The volume of the tank of water is 653.12 cubic meters.

How to get the volume?

For a cylinder of height H and diameter D, the total volume is given by:

[tex]V = 3.14*(D/2)^2*H[/tex]

In this case, we know that:

D = 8m

H = 13m

Replacing that in the above equation:

[tex]V = 3.14*(8m/2)^2*13m = 653.12 m^3[/tex]

So the volume of the tank of water is 653.12 cubic meters.

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Related Questions

It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on 34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?​

Answers

Answer:

Sue

Step-by-step explanation:

34/2= 17 which is the highest out of them all.

I can not figure out the length of xy

Answers

Answer:

The segment bisector is MN

Step-by-step explanation:

MN divides XY into two equal lengths

32.


so, the two dashes on the lines, the | represent those two portions are equal. also it alr says that MN is the segment bisector, and bisector means that something is split in half.


so, this basically means we can set 3x+1 and 8x-24 equal to each other


3x+1=8x-24

so we need to split up the numbers so x is on one side. the easiest way to do this is to move the -24 to the other side. to do this, we need to balance the equation. if we move one thing to one side, we need to flip the sign. so -24 is negative, so we need to make it +24 and add it to 1


3x+25=8x


now, move 3x to the other side, but since it’s positive, make it -3x. subtract it from 8x


25 = 5x


now, x is attached to 5 by multiplication so we need to do the opposite of multiplication, division. divide 25 by 5 to isolate x


5 = x



so since x = 5, we can plug it back in to any of the segments ill pick 3x+1


3(5)+1


that equals 16


since we know both lines are equal in length, we can double 16, which equals 32

f(x) =3x, g(x) = x+4 and h(x)=x²-1
What is the value of
h[f(10)]

Answers

Answer:

899

Step-by-step explanation:

h[f(10)]=h(30)

=(30)^2-1=900-1=899

Multiply
[(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)]

Answers

Answer:

3(x -1) / (x + 1)(x + 2).

Step-by-step explanation:

(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)

Factoring the denominator  and 3x - 9:

= (x - 1) / (x + 1)(x - 3)  *  3(x - 3) / (x + 2)

The (x - 3)'s  cancel out, so we have:

(x - 1)/(x + 1) * 3 / (x + 2)

= 3(x -1) / (x + 1)(x + 2).

What is the measure of angle θ in the graph?

angle drawn in standard position on the unit circle, extending counterclockwise in the second quadrant

Group of answer choices

−135°

45°

135°

225°

Answers

The measure of the angle θ in the graph as described in the task content is; 135.

What is the measure of angle θ in the graph?

From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.

Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.

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Help with a exit ticket

Answers

Answer:

   4. 132°

   5. 41°

Step-by-step explanation:

Q4

The arc length is twice the measure of the inscribed angle∡RP = 68° × 2 = 132°

Q5

2∠ABC = ∡AC2(5x + 11) = 16x - 2610x + 22 = 16x - 2616x - 10x = 22 + 266x = 48x = 6∠ABC = 5(6) + 11∠ABC = 41°

mRP

The angle will be twice the m<Q

So

it's

2(68)136°

#2

2(5x+11)=16x-2610x+22=16x-2648=6xx=8

m<ABC

5(8)+1140+1151

calculator shortcut for 16613 eight

Answers

There are some calculator shortcuts that can be used on a Windows OS and they are:

Ctrl + R (recall from memory)Ctrl + L (erase memory)

What is a Calculator?

This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.

Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.


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ANS IN 10M

5.
(04.01)

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6.
Function 2
y = 2x + 7

How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)

1
2
3
4

Answers

The rate of change of function 1 is 2

What is line?

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

Given function: y = 2x + 7.

As the graph of function 1 is not given.

the rate of change of function 2 : y = 2x + 7.

As the the value of m or rate of change of above equation is 2

m=2.

as,  the horizontal line passes, the rate of change is 0

Hence, rate of change is 2.

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Answer:

learn

Step-by-step explanation:

What is the solution of following system of equations y=2x-3 4x-3y=31

Answers

Answer:

(-11, -25)

Step-by-step explanation:

Use substitution.

A 1-quart milk carton has a square base of 7 cm × 7 cm and a height of 19.3 cm. What is its volume in cubic centimeters?

Answers

Answer:

V = 945.7 cm^3

Step-by-step explanation:

I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.

Substitute known values into this formula:

V = 7 × 7 × 19.3

V = 945.7 cm^3

How to find the surface area of a triangular prism

Answers

Answer:

See below.

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.

Example:

For a base which is 12 by 12. The area is 12 x 12 = 144.

For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

Which expression is equivalent to the expression shown?
3'*3*
3
3 x
Х
Х
1
3-4
34
-28
4
3
3’x (+39
х

Answers

Answer:

the given expression is equivalent to the

Step-by-step explanation:

[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]

HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11

Solve the inequality, and please show your work. Thanks in advance!

Answers

Answer:

-4 < x ≤ -3

Step-by-step explanation:

Separate it into 2 inequalities

2x+6 ≤x+3

x ≤-3

x+3<3x+11

-8 < 2x

x > - 4

Combine the 2 results

-4 < x ≤ -3

I need help

Bob scuba dives in the ocean.

He is 150 feet below the surface of the water.
• He swims up toward the surface of the water at a rate of 15 feet for every 30 seconds.
After 2 minutes of ascending, he stops to take a break. How far away is Bob, in feet, from the surface of the water?

Answers

Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.

He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.

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Write 10 3 8 as an improper fraction.

Answers

So the answer is that 10 3/8 as a decimal is 10.375.

We convert it to an improper fraction which, in this case, is 83/8 and then we divide the new numerator (83) by the denominator to get our answer.

Answer (if the number is 10 3/8):

83/8

Step-by-step explanation:

to find out we multiply the whole number (10) by the denominator (x/8) as shown below

10 * 8 = 80

then we just add the product to the numerator (3/y)

3 + 80 = 83

usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form

Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art.

science: MAD of 1.14

math: MAD of 1.6

Spanish: MAD of 1.2

art: MAD of 1.93

In which class were his scores the closest together?


science

art

Spanish

math
HELPPPP!!!!

Answers

The closet scores would be sci and Spanish

Answer:

The answer would be Science.

I don't know how to explain it just yet :(

Mark buys a treadmill priced at $360.26.Shipping and handling are an additional 10%of the price.How much shipping and handling will Mark pay?

Answers

10% of 360.26 is 36.026 but that answer wouldn’t be it since cents are only in the tenths and hundredths places after the decimal, so you’d probably have to round it up to 36.03

solve this question please

Answers

The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A

How to solve equation?

y = 5x

if x = 2

y = 5(2)

y = 10

if the value of x doubles, for instance, if x = 4

y = 5(4)

y = 20

y = 5/x

if x = 0.5

y = 5/0.5

y = 10

if the value of x triples, for instance, if x = 0.125

y = 5/x

= 5/0.125

y = 40

The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B

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Find the size of the angle marked a

Answers

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

57°.

Step-by-step explanation:

What we know is:

One angle is 123°.

We don't know:

angle a°.

So, we add both angles up to 180°:

123 + a = 180.

Lets solve 180 - 123:

180 - 123= 57a° = 57°.Angle a° is 57°.

need help.. again PLEASE HURRY 100 POINTS

Answers

Answer:

I think it might be 156 square milimeters. I could be totally wrong though.

Step-by-step explanation:

Please help me I need help

Answers

Answer:number 1 and 4

Step-by-step explanation:

The length of a rectangular field is 31 meters and the breadth is 14 meters, outside it a 2 meter wide path is made all around, what will be the cost of laying sand on this path at the rate of 7 per square meter

Answers

Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m

Step-by-step explanation:

[ refer to attachment ]

Area of field + path = L × B

=> 35 × 18

=> 630 m² -------------(1)

Area of field = L× B

=> 31 × 14

=> 434 m² --------------- (2)

Area of path = area 1 - area 2

=> 630 - 434

=> 196 m²

Given Rate = Rs. 7/ m²

If cost of 1m² = Rs. 7

Cost of 196m² = 7×196

=> Rs. 1372

3√6/√15
Solve it using radicals please!!!

Answers

Answer:

3√10/5

Step-by-step explanation:

[tex]\frac{3\sqrt{6} }{\sqrt{15} }[/tex]

Rationalize √15

[tex]\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\[/tex]

If the sales per day of a start-up company can be modeled using the function s(d) = d 3 + 10, what is the maximum number of sales per day on the interval 0 < d ≤ 3?

Answers

The maximum number of sales will be equal to 37.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given function is:-

s(d) = d³ + 10maximum number of sales per day on the interval 0 < d ≤ 3

The maximum value of d = 3

s(d)  =  d³   +  10

s(d)  = (3)³  +  10

s(d)  = 27  +   10

s(d)  =  37

Therefore the maximum number of sales will be equal to 37.

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what is the area of the regular polygon shown below?

Answers

The answer is: 1372 in. squared

Because the apothem will always be half of the length of one side. The length of one side is 28 in.

The formula for the area is:
Area = (number of sides × length of one side × apothem)/2

Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared

Hope this helps!
Please give Brainliest!

Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)

Answers

If a constant is added to a variable then the graph gets shifted toward left and vice-versa. Then the graphs are shown below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The parabola is given below.

f(x) = x²

Then the parabolas with respect to the position of their vertices from left to right will be

1: y = f(x) = x²

2: y = f(x - 4) = (x - 4)²

3: y = f(x + 3) = (x + 3)²

4: y = f(x - 7) = (x - 7)²

5: y = f(x + 2) = (x + 2)²

6: y = f(x - 1/2) = (x - 1/2)²

The graph of the parabola is given below.

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( 9 × 10^ − 7 )^ 2
standard form at the end please

Answers

Answer:

Step-by-step explanation:

Answer: 6889.

( 9 × 10^ − 7 )^ 2

standard form 6889.

If sample bias exists, then we can easily trust using the sample as representative of the
whole population. True or False

Answers

Answer:  False

Explanation:

If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.

For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.

False, if an answer is biased it does not contain fact just opinion

A large rectangular prism has a length of 2 and 1/2 inches, a width of 4 inches, and a height of 1 and 1/2 inches. A smaller cube has a length, width, and height of 1/2 of an inch. How many of the smaller cubes will fit into the larger rectangular prism?

Answers

Answer:

120 cubes

Step-by-step explanation:

Volume of prism and cube:

We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.

  Rectangular prism:

       [tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]

            [tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]

                                                                 [tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]

Cube:

       [tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]

                [tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]

                                                [tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]

Number of cubes = Volume of prism ÷ volume of a cube

                              [tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]

120 cubes will fit

   

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one obtuse angle. Two sides are equal in length.

Group of answer choices

Answers

Answer:

isosceles

Step-by-step explanation:

just ask

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