Question

A feeder at the zoo in the shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate it’s height to the nearest inch. Use 3.14 to approximate the value of pi.

Answers choices: 18, 4, 36, 12.

Answer 1

Height of cone in 12 inches .

Explanation:

Here we have , A feeder at the zoo in the shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. We need to Approximate it’s height to the nearest inch . Let's find out:

We know that , Volume of cone is given by :

⇒
`Volume = (1)/(3)\pi r^2h`

Given parameters are :

`r=3 inches\\Volume = 113.04in^3`

⇒
`113.04 = (1)/(3)\pi (3)^2h`

⇒
`113.04=\pi (3)h`

⇒
`h = (113.04)/(3(3.14))`

⇒
`h = 12in`

Therefore , Height of cone in 12 inches .