Question

A right circular cone of radius 6 inches, side length of 16 inches and height of h inches. Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches? f 10 in. g 14.8 in. h 20 in. j 17.1 in.

Answer 1

Height of cone (h) = 14.8 in (Approx)

Explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)