6.

The local library has a number of pillars at the front entrance. Each pillar is a cylinder. The radius of each pillar is 17 inches and the volume of each pillar is 231,402.3 cubic inches. What is the height of each pillar? Use 3.14 for π.
The answer is rounded to the nearest tenth.

255


255in

4
,
335


4,335in

907.5


907.5in

13
,
611.9


13,611.9in

1 answer

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the radius is 17 inches and the volume is 231,402.3 cubic inches. We can plug these values into the formula and solve for h:

231,402.3 = 3.14(17^2)h
231,402.3 = 9089.74h
h = 231,402.3/9089.74
h ≈ 25.5 inches

Therefore, the height of each pillar is approximately 25.5 inches.