Question

A cylinder has a radius of 2x^2y and a ehight of 3x^3 what is the volume of the cylinder in terms of pi

Answer 1

see explanation

Explanation:

the volume (V) of a cylinder is calculated using the formula

V = area of base × height

here the base is a circle with radius r = 2x²y

area of base = πr² = π × (2x²y)² = π × 4
`x^(4)`y² = 4
`x^(4)`y²π

V = 4
`x^(4)`y²π × 3x³

= 12
`x^(7)`y²π