Question

in the frustum of a cone,the top diameter is twice the bottom diameter. if the height is h cm, find the height of the cone

Answer 1

since the diameter has been reduced by half over a height of h, it will shrink to zero (the tip of the cone) in another h.

So, the cone's height is 2h.

Or, using a ratio to find the cone's height H,

H/2r = (H-h)/r
H = 2(H-h)
H = 2h