A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in the standard form best describes the total volume of the cylinder? Use the formula V = r²h for the volume of a cylinder
80x³ + 144x² + 84x + 16.
80x³ - 144x² + 84x + 16.
80x³ + 144x² + 84x - 16.
80x³ + 144x² - 84x + 16

Solution:

Given V = r²h

Radius is 4x + 2 and height is 5x + 4

Put these values in the given formula for volume

V = (4x + 2)²(5x + 4)

V = (16x² + 16x +4)(5x + 4)

V = 80x³ + 64x² + 80x² + 64x + 20x + 16

V = 80x³ + 144x² + 84x + 16

This is the volume of the cylinder

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V = r²h for the volume of a cylinder

Summary:

A cylinder has a radius of 4x + 2 and a height of 5x + 4. V = 80x³ + 144x² + 84x + 16 polynomial in standard form best describes the total volume of the cylinder Using the formula V = r²h for the volume of a cylinder