A cylinder 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 come?

Answer:h = y^2 / 27

Step-by-step explanation:

Volume of a cylinder = pi * (xx) ^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi * (9x^2) ^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

4 inches

Step-by-step explanation:

The volume of the cylinder is:

V = π r² h

V = π (2) ² (3)

V = 12π

The cone has the same volume, so its height is:

V = ⅓ π r² h

12π = ⅓ π (3) ² h

12π = 3π h

h = 4

The height of the cone is 4 inches.