The lateral area of a cone is 14 pi in squared. The radius is 2.8 in. Find the slant height.

1 answer

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

Lateral Area = πrl,

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

Given that the lateral area is 14π in^2 and the radius is 2.8 in, we can substitute these values into the formula:

14π = π(2.8)l.

Solving for l:

14 = 2.8l
l = 14 / 2.8
l = 5

Therefore, the slant height of the cone is 5 inches.