A cylinder has a volume of 225π inches3. What is its height, if its radius is 10 inches?

A) 2.25 inches

B) 22.5 inches

C) 2.25 π inches

D) 0.716 inches

The formula for the volume of a cylinder is

... V = π·r²·h

where r is the radius and h is the height.

Filling in the given numbers, we have

... 225π in³ = π· (10 in) ²·h

Dividing by the coefficient of h, we get

... (225π in³) / (100π in²) = h

Cancelling common factors, gives

... 2.25 in = h

The appropriate choice is

... A) 2.25 inches