The lateral area of a cone is 400 pi cm2. The radius is 10 cm. Find the slant height to the nearest tenth
To find the slant height of the cone, we first need to find the height using the given lateral area and radius.
The lateral area of a cone is given by the formula:
Lateral Area = πrs
where r is the radius of the cone, s is the slant height, and π is a constant.
Given that the lateral area is 400π cm² and the radius is 10 cm, we can plug these values into the formula and solve for s:
400π = π(10)(s)
400 = 10s
s = 40 cm
Therefore, the slant height of the cone is 40 cm.