Question

The curved surface area of a frustum of a cone is πl (r₁ + r₂), where `l = sqrt(h^2 + (r_1 + r_2)^2)`, r₁ and r₂ are the radii of the two ends of the frustum and h is the vertical height.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

We know that,

Curved surface area of frustum = πl(r₁ + r₂)

Where r₁ and r₂ are the radii of two ends (r₁ > r₂)

And l = slant height

`l = sqrt(h^2 + (r_1 + r_2)^2)`   ...[In the statement, formula for calculating slant height is incorrect]