The volume of a cylinder is 64π cubic centimeters. If the radius of the cylinder is 4 cm, what is the height of the cylinder? (V = πr^2 h)
Responses
A 2 cm2 cm
B 3 cm3 cm
C 4 cm4 cm
D 6 cm
The volume of the cylinder is given by V = πr^2h.
Given V = 64π cubic centimeters and r = 4 cm
Substitute the values into the formula:
64π = π(4)^2h
64π = 16πh
Divide both sides by 16π:
h = 64/16
h = 4 cm
Therefore, the height of the cylinder is 4 cm.
Answer: C) 4 cm