Question

A cone has a slant height of 6 inches and a lateral surface area of

47.1 square inches. What is the base radius of the cone?

Answer 1

Radius, r = 2.50 inches

Explanation:

Given the following data;

Slant height of cone = 6 inches

Lateral surface area (LSA) of cone = 47.1 sq inches

To find the radius of the cone;

Mathematically, the lateral surface area of a cone is given by the formula;

LSA = πrl

47.1 = 3.142 * r * 6

47.1 = 18.852r

Radius, r = 47.1/18.852

Radius, r = 2.50 inches