The lateral area of a cone is 400 pi cm squared. The radius is 10 cm. Find the slant height to the nearest tenth.
(1 point)
Responses
40 cm
40 cm
38.7 cm
38.7 cm
34 cm
34 cm
29.1 cm
29.1 cm
To find the slant height of a cone, you can use the Pythagorean theorem. The lateral area of a cone is given by the formula L = πrs, where r is the radius of the base and s is the slant height.
In this case, the lateral area is 400π cm² and the radius is 10 cm.
Plugging these values into the formula, we have:
400π = π(10)(s)
400 = 10s
s = 40 cm
So the slant height is 40 cm. The nearest tenth is 40.0 cm.