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 .

Step-by-step 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 :

⇒ $Volume = \frac{1}{3}\pi r^2h$

Given parameters are :

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

⇒ $113.04 = \frac{1}{3}\pi (3)^2h$

⇒ $113.04=\pi (3)h$

⇒ $h = \frac{113.04}{3(3.14)}$

⇒ $h = 12in$

Therefore , Height of cone in 12 inches .