The 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
The lateral area of a cone is given by the formula Lateral Area = π * r * l, where r is the radius of the base and l is the slant height.
We are given that the lateral area is 612pi cm^2 and the radius is 14.2 cm.
Substituting these values into the formula, we have:
612pi = π * 14.2 * l
Dividing both sides by π and 14.2:
612 = l * 14.2
To solve for l, we divide both sides by 14.2:
l = 612 / 14.2
l ≈ 43.1 cm
Therefore, the slant height is approximately 43.1 cm.
The correct answer is 43.1 cm.