Question

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

Answer 1

4.7in^3

Explanation:

The volume of a cone is given by the formula:

`V=(\pi r^2h)/(3)`

The given information is:

`h=4in`

`d=3in`

`r=1.5in`

The cone is filled up to half, therefore the height at which the water peaks is 1/2 of 4 inches, which is 2in. Plug this information into the volume formula to get:

`V=(2\pi (1.5^)^2)/(3)=4.7in^3`