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9. To the nearest cubic foot, the cylindrical natural gas storage tank shown below holds 2261 cubic feet of gas with a diameter of 12. (The figure may not be drawn to scale.) To the nearest cubic foot, what is the approximate volume of an equally tall tank if it has a diameter of 24.0 feet?
a. 9044
c. 18,088
b. 9029
d. 9054

Answer :

emma3173

Answer:

a. 9044

Step-by-step explanation:

The equation to find the volume of a cylinder is V=πr²h

So to find the height you plug in the values and solve.

2261=π×6²h

2261=3.14×36×h

2261=113.04h

2261÷113.04 to isolate the variable

20.0017693=h

So now you plug in the height for the other tank and multiply the height by 3.14 and 144.

After that you get 9044.

igoroleshko156

Step-by-step explanation:

Step 1:  Find the height of the first cylinder

[tex]2261 = \pi * (6^2) * h[/tex]

[tex]2261 / 36 = \pi * 36 * h / 36[/tex]

[tex]62.805...\pi = \pi * h / \pi[/tex]

[tex]19.99... = h[/tex]

Step 2:  Find the volume of the other cylinder

[tex]V = \pi * (12)^2 * (19.99)[/tex]

[tex]V = \pi*144*19.99[/tex]

[tex]V = \pi2878.56[/tex]

[tex]V = 9043.262...[/tex]

Answer: Option A, 9044

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