Answer:
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Step-by-step explanation:
Given height of a cylinder is (h) =2x+7
and radius (r)= x-3
Volume of the cylinder = [tex]\pi r^2 h[/tex]
[tex]=\pi (x-3)^2(2x+7)[/tex]
[tex]=\pi (x^2-6x+9)(2x+7)[/tex]
[tex]=\pi (2x^3-12x^2+18x+7x^2-42x+63)[/tex]
[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex] cubic units
