Question

The radii of circular ends of frustum of a cone are 20 cm and 12 cm and its height is 6 cm. Find the Slant height of frustum.

Answer 1

Given: Radii of the frustum: r₁ = 20 cm, r₂ = 12 cm

Height (h) = 6 cm

Formula: The slant height (l) of a frustum of a cone is given by:

`l = sqrt(h^2 + (r_1 - r_2)^2)`

= `sqrt(6^2 + (20 - 12)^2)`

= `sqrt(36 + (8)^2)`

= `sqrt(36 + 64)`

= `sqrt100`

= 10 cm

The slant height of the frustum is 10 cm.