he lateral area of a cone is 612picm2. The radius is 14.2 cm. What is the slant height to the nearest tenth of a centimeter?
(1 point)
Responses
13.7 cm
13.7 cm
35.4 cm
35.4 cm
43.1 cm
43.1 cm
86.9 cm
To find the slant height of a cone, we can use the formula:
lateral area = π * r * l
where r is the radius and l is the slant height.
Given that the lateral area is 612π cm^2 and the radius is 14.2 cm, we can plug these values into the formula:
612π = π * 14.2 * l
Simplifying, we have:
612 = 14.2 * l
Dividing both sides by 14.2, we get:
l = 612/14.2
Using a calculator to evaluate this expression, we find:
l ≈ 43.1 cm
Therefore, the slant height is approximately 43.1 cm.