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

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

Step-by-step 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)

(18x^3 + 45x^2) π unit^3.

Step-by-step 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.