Question

A volume of a cylinder is given by the expression 6n2 – 13n – 28. The area of the base is 3n + 4.

Which expression represents the height of the cylinder?

Answer 1

Answer: 2n-7

Explanation:

Volume of cylinder = Base Area x Height

V=πr2h

Rearrange for h

Height = Volume/Base Area

h = V/πr2

h = (6n² -13n -28)/(3n+4)

See the long division of the polynomials below, the quotient is 2n-7 which represents the height of the cylinder