The volume of a cylinder is 864pi cmcubed. The height of the cylinder is 24 cm. What is the radius of the​ cylinder?

Answer 1

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.