Question

The volume of a cylinder is given by V = pi r^2h

where r is the radius of the cylinder and h is the
height. Which expression represents the volume
of this can?

Answer 1

D.

Explanation:

Simply plug in your variables and solve (r = x + 2 and h = 3x + 8):

V = π(x + 2)²(3x + 8)

V = π(x² + 4x + 4)(3x + 8)

V = π(3x³ + 20x² + 44x + 32)

V = 3x³π + 20x²π + 44xπ + 32π