If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder:

If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder:
A . remains the same.
B . becomes twice as large.
C . becomes half as large.
D . becomes four times larger.
E . becomes four times smaller.

Answer: C

Explanation:

The volume of a cylinder is equal to π r 2 h , where r is the radius of the cylinder and h is the height. The volume of a cylinder with a radius of 1 and a height of 1 is π. If the height is doubled and the radius is halved, then the volume becomes π × (1/2) 2 × 2 × 1 = π × 1/4 ×2 = 1/2π. The volume of the cylinder has become half as large.