Question

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

Answer 1

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.