Question

The volume of a cylinder is given by the formula mc023-1.jpg, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

Answer 1

Volume of a cylinder = π r² h

Given:
radius = (x+8)
height (2x + 3)

Volume of a cylinder = π * (x+8)² * (2x + 3)

V = π * (x+8)(x+8) * (2x+3)
V = π * (x² + 8x + 8x + 64) * (2x + 3)
V = π * (x² + 16x + 64) * (2x + 3)
V = π * (2x³ + 32x² + 128x + 3x² + 48x + 192)
V = π * (2x³ + 32x² + 3x² + 128x + 48x + 192)
V = π * (2x³ + 35x² + 176x + 192)