The volume of a cylinder is 864pi cmcubed. The height of the cylinder is 24 cm. What is the radius of the cylinder?
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr^2h
Given that the volume is 864π cm^3 and the height is 24 cm, we can plug these values into the formula:
864π = πr^2(24)
Now, we can solve for the radius (r):
r^2 = 864/24
r^2 = 36
r = √36
r = 6 cm
Therefore, the radius of the cylinder is 6 cm.