Answer to Question #171340 in Algebra for john

Question

A cylinder has a radius of 5 x + 3 and a height of 4 x + 2. Which polynomial in standard form best describes the total volume of the cylinder?

Answer 1

Applying the concept of application of algebra, the volume of a cylinder is given by V=πr²h.

Given radius, r = 5x +3 and height, h = 4x + 2.

The volume a cylinder is given by

V = πr²h

V = π (5x+3)² * (4x+2)

V = (100x³ + 170x² + 96x + 18)