The lateral area of a cone is 120 pi inches^2. The radius is 5 inches. What is the slant height of the cone?

Answer 1

The lateral area of a cone is given by the formula:

Lateral Area = πr * L

where r is the radius of the cone and L is the slant height.

Given that the lateral area is 120π inches^2 and the radius is 5 inches, we can plug in these values into the formula:

120π = π * 5 * L
120 = 5L
L = 120/5
L = 24 inches

Therefore, the slant height of the cone is 24 inches.