1 Answer

Sancho · Answer 1 · 2021-01-12T18:13:00+0000

Answer:

C

Explanation:

So we have a cylinder with a hole the shape of a rectangular prism through it.

Therefore, our total volume would be the cylinder minus the volume of the rectangular prism.

The volume of a cylinder is given by the formula:

$V=\pi r^2h$

Use 3.14 for π, 10 for radius, and 15 for the height. Thus:

$V=(3.14)(10)^2(15)\\V=4710$

So the volume of the cylinder is 4710 cubic feet.

Now, find the volume of the rectangular prism.

The formula for the volume of a rectangular prism is given by:

V=lwh

The length is 5, width is 3, and height is 15. Thus:

$V=(5)(3)(15)\\V=225$

So, the total volume is:

$V_{\text{Total}}=V_{\text{Cylinder}}-V_{\text{Rectangle}}\\V_{\text{Total}}=4710-225=4485\text{ feet}^3$

Our answer is C

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