College

A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use \(\pi = 3.14\).

Answer :

Answer:

V = 262.61 m³

Step-by-step explanation:


Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

To find: Volume of the cone

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.

V = π × r² × h / 3

π × r²

V = 262.610935 m³

In the nearest tenths, the volume of the cone is V = 262.61 m²