Question

Elise fills a waffle cone with ice cream exactly level to the top of the cone. If the cone has a diameter of 238 inches and a height of 6 inches, how much ice cream does the waffle cone hold? Write your answer in terms of π. Round to the nearest hundredth. Enter your answer in the box.
_______ π in^3

Answer 1

The cone holds 28322π inches cubed of ice cream.

Step-by-step explanation:

Given,

Diameter of cone = 238 inches

Radius of cone = $\frac{Diameter}{2}=\frac{238}{2}=119\ inches$

Height of cone = 6 inches

We will find the volume of cone to determine how much ice cream the one holds.

Volume of cone = $\pi r^2\frac{h}{3}$

Volume of cone = $\pi *(119)^2*\frac{6}{3}$

$Volume = \pi * 14161 * 2 \\Volume = 28322\pi$

The cone holds 28322π inches cubed of ice cream.