Question

Diameter of 6x and height of 2x+5 what is the volume of the cylinder

Answer 1

(18x^3 + 45x^2)π unit^3.

Explanation:

The radius of the base = 1/2 * 6x = 3x.

The volume = π r^2 h

= π * (3x)^2 * (2x + 5)

= 9x^2(2x + 5) π

= (18x^3 + 45x^2)π.

Answer 2

V = pi*x^2*(18x - 45)

Explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)