The volume of the frustum of a cone is 1/3πh[r12 + r22 - r1r2] , where h is vertical height of the frustum and r1 , r2 are the radii of the ends.

Question

Write ‘True’ or ‘False’ and justify your answer:

The volume of the frustum of a cone is 1/3πh[r₁² + r₂² - r₁r₂] , where h is vertical height of the frustum and r₁ , r₂ are the radii of the ends.

Answer 1

False

As we know

Volume of frustum of a cone

Where, h = height, r₁ and r₂ are radii (r₁ > r₂)