Question

A cylinder has a height of 7 feet and a radius of 12 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

Answer: 461.6 ft^3

Explanation:

Substitute r and h into the volume formula. In this case, the height is 12, so h = 12. The diameter is 7, so the radius is half that, or 3.5. Substitute into the formula and simplify: V=π(3.5)2(12)V=π(12.25)(12)V=147π

So the exact volume of the cylinder is 147π ft3

.

To find the approximate volume, substitute 3.14 for π

and simplify:V≈147(3.14)≈461.58

. Rounded to the nearest tenth, the approximate volume of the cylinder is 461.6 ft3

.

Answer 2

V=3.14(12)^2(7)

Which equals 3165.1 (I believe)