Question

A company designs its packaging so that it is a cylinder with a diameter of 4 inches and a height of 7 inches with a cone on top that has a diameter of 4 inches and a height of 3 inches. Find the volume of this figure. Leave in terms of π.

Answer 1

All you have to do is find the volume of the cylinder, then find the volume of the cone, and add their 2 volumes.

Volume of a cylinder:
`( \pi )/(4) D^(2) h_(1)`
Where D is the diameter of the cylinder and h1 is the height of the cylinder

Volume of a cone:
`( \pi H_(2) d^(2) )/(12)`

Where H2 is the height of the cone and d is the diameter of the cone