Question

The height of a cylinder is 1 inch less than the diameter of the cylinder. Which expression represents the volume of the cylinder in terms of its radius, x?

Answer 1

A

Explanation:

given the radius is x , then diameter = 2x and height = 2x - 1

the volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = πx²(2x - 1) ← distribute parenthesis by πx²

= 2πx³ - πx² in³