Find the slant height of the cone to the nearest whole number.

Question

A right circular cone is shown. The height of the cone is 16 meters and the radius of the circular base is 11 meters.
(1 point)
Responses

20 m
20 m

22 m
22 m

21 m
21 m

19 m

Answer 1

The slant height of the cone can be found using the Pythagorean theorem:
l^2 = r^2 + h^2
l^2 = 11^2 + 16^2
l^2 = 121 + 256
l^2 = 377
l = √377
l ≈ 19

Therefore, the slant height of the cone to the nearest whole number is 19 meters. So the closest option is 19 m.