Question

A cylinder has a radius of 5X +5 and a height of 5X +3. Which poly nominal in standard form best describes the total volume of the cylinder 

Answer 1

V = 5πX^2 + 50πX + 75π

Explanation:

The volume of a cylinder with radius r and height h is given by the formula:

V = πr^2h

Substituting the values for the radius and height of the cylinder in this formula, we get:

V = π(5X + 5)^2(5X + 3)

This can be written in standard form as:

V = 5πX^2 + 50πX + 75π

So, the polynomial in standard form that best describes the total volume of the cylinder is:

V = 5πX^2 + 50πX + 75π