Question

If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, what is the height of the cup? Use 3.14 to for pi. Round your answer to the nearest hundredth.

Answer 1

The height of the cone is 21.97 inches.

Answer 2

The formula for the volume of a cone is:
`\pi r^2 (h)/(3)`

We know the radius and the volume, so we can solve for the height.


`23=3.14*1^2* (h)/(3)`

We start by multiplying both sides by 3.


`69=3.14*1*h--\ \textgreater \ 69=3.14*h`

To finish this problem, we divide both sides by 3.14 to get h on its own.

h = 21.97, so the height of the cone is 21.97 inches.