In the cylinder volume problem, what is the height of the tank?

• A. 8 ft
• B. 12 ft
• C. 10 ft
• D. 9 ft

Answer: (C)

The key idea is that the volume of a cylinder is the base area times the height. For a cylinder, V = π r^2 h, so to find the height you solve for h: h = V / (π r^2).

In the problem, you use the given volume and the base radius (to get the base area π r^2), then divide the volume by that base area. Doing this with the numbers provided gives a height of 10 ft.

Why the other heights don’t fit: for the same base area, changing the height changes the volume proportionally. A smaller height would produce a smaller volume than stated, and a larger height would produce a larger volume. Only the height that makes V match the given volume works, which is 10 ft.