Question

15. The lateral area of a cone is 572 π cm^2. The radius is 20. Find the slant height to the nearest tenth. (1 point) Responses 28.6 cm 28.6 cm 22.6 cm 22.6 cm 20.4 cm 20.4 cm 26.3 cm

Answer 1

To find the slant height of the cone, we can use the formula for the lateral area:

Lateral Area = π*r*s

Given that the lateral area is 572π cm^2 and the radius is 20, we can plug in these values and solve for the slant height (s):

572π = π*20*s
572 = 20s
s = 572 / 20
s = 28.6 cm

Therefore, the slant height of the cone is 28.6 cm. The closest answer choice is 28.6 cm.