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

1 Answer

1 vote

Answer:

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

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

User Dejan Dozet
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