Question

What is the volume of the cylinder if the height is 2x+7 and the radius is x-3

Answer 1

Answer:

Therefore the volume of the cylinder$=\pi(2x^3-5x^2-24x+63)$  cubic units

Step-by-step explanation:

Given height of a cylinder is (h) =2x+7

and radius  (r)= x-3

Volume of the cylinder = $\pi r^2 h$

                                  $=\pi (x-3)^2(2x+7)$

                                  $=\pi (x^2-6x+9)(2x+7)$

                                  $=\pi (2x^3-12x^2+18x+7x^2-42x+63)$

                                  $=\pi(2x^3-5x^2-24x+63)$  cubic units

Therefore the volume of the cylinder$=\pi(2x^3-5x^2-24x+63)$  cubic units