Question

The radii of the circular ends of a frustum of height 6 cm are 14 cm and 6 cm, respectively. Find the slant height of the frustum.

Answer 1

We have, 

Height of the frustum, h = 6 cm,

Radii of the circular ends, R = 14 cm and r = 6 cm

Let the slant height of the frustum be l.

Now,

`"l" = sqrt(("R"- "r")^2 + "h"^2)`

`=sqrt((14-6)^2+6^2)`

`=sqrt(8^2 + 6^2)`

`=sqrt(64+36)`

`=sqrt(100)`

= 10 cm

so, the slant height of the frustum is 10 cm.