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

Respuesta :

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