Acylinder and a cone have the same volume. the cylinder has a radius of 2 inches and a height of 3 inches. the cone has a radius of 3 inches. what is the height of the cone?

The formula to find the volume of cylinder is

The radius of cylinder = 2 in

Height of the cylinder = 3 in

Substituting the values of r = 2 & h = 3

We get

Volume of cylinder

The formula to find the volume of cone is

The radius of the cone is given as 3 inches

Substituting in the formula we get

But the volumes are given equal

So

Dividing by 3 on both sides

we get

h = 4

The height of the cone is 4 inches.

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8