Question

The slant height of the frustum of a cone is 5 cm. If the difference of the radii of its two circular ends is 4 cm, find the height of the frustum

Answer 1

the height of the frustum is 3 cm

Answer 2

The slant height is given as 5. The difference in radii is given as 4. One more info is needed that it is a right circular cone. If that is the case then the height of cone, slant height of cone and difference of radii make a right angle triangle with slant height as hypotenuse, base as difference of radii and height of cone as remaining side. If that is the case then the third side has to be 3 as 3, 4, 5 form a Pythagorean triplet.