A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of the cone in terms of y.
x^2*pi*y is the volume of the cylinder.
(1/3x)^2*(ay)/3 is the volune of the cone.
Set them equal to each other and find what a is.
=^._.^=
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has a radius of 1/3x. Find the height of the cone in terms of y.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The height of a cylinder y = V / r2pi
The height of a cone (n)y = 3V / (r / 3)2pi
(n)y / y = [3V / (r / 3)2pi] / (V / r2pi) = 27
The height of a cone = 27y