The lateral area of a cone is 5.6 pi in squared. The radius is 2.8 in. Find the slant height.
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 of the cone.
Given that the lateral area is 5.6π in^2 and the radius is 2.8 in, we can plug these values into the formula:
5.6π = π(2.8)L
Now, we can solve for L:
5.6π = 2.8πL
5.6 = 2.8L
L = 5.6 / 2.8
L = 2 in
Therefore, the slant height of the cone is 2 inches.