The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume? |
98 π cm3 100 π cm3 96 π cm3 90 π cm3 |
98 π cm3 |
We know that, Volume of Frustum (V) = \(\frac{1}{3}\)πH(R2+Rr+r2) We have, Radius of the base (R) = 5 cm Radius of the top (r) = 3 cm Height (H) of frustum = 6 cm So, Volume of Frustum = \(\frac{1}{3}\)π× 6 × [(5)2 + (5 × 3) + (3)2] = V = π × 2 × [25 + 15 + 9] = V = π × 2 × [49] = 98π cm3 |