Question

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

Answer 1

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