Question

The volume of a cylinder is given by the formula v= m'h. where r is the radius of the cylinder and h is the height.

Answer 1

Answer:

The Volume of cylinder is: $\mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }$

Option B is correct option.

Step-by-step explanation:

We are given:

Volume of cylinder = h = 2x+7

Radius of cylinder = r = x-3

We need to find volume of cylinder

The formula used is: $Volume=\pi r^2h$

Putting values and finding volume

$Volume=\pi r^2h\\Volume=\pi (x-3)^2(2x+7)\\Volume=\pi (x^2-6x+9)(2x+7)\\Volume=\pi (2x(x^2-6x+9)+7(x^2-6x+9))\\Volume=\pi (2x^3-12x^2+18x+7x^2-42x+63)\\Volume=\pi (2x^3-12x^2+7x^2-42x+18x+63)\\Volume=\pi (2x^3-5x^2-24x+63)\\Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi$

So, The Volume of cylinder is: $\mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }$

Option B is correct option.