What is the height of a cone with a radius of 12 cm and a vo

What is the height of a cone with a radius of 12 cm and a volume of 408*pi cubic cm.

Solution

The volume of a cone is given by (1/3)*pi*r^2*h, where r is the radius and h is the height.

The volume is 408*pi and the radius is 12

408*pi = (1/3)*pi*12^2*h

=> 408*pi = 48*pi*h

=> h = 408*pi/(48*pi)

=> h = 8.5

The height of the cone is 8.5 cm.