Question

A hemispherical bowl fits exactly on the open surface of a right cone with height 5cm and radius 3.5 cm .The volume of the solid formed is

• A. 144 cm³
• B. 132 cm³
• C. 154 cm³
• D. 169 cm³

Answer 1

The correct option is C

154 cm³

Total volume= Volume of the cone+ volume of the hemisphere

$=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^3$

$=\frac{1}{3}\times \frac{22}{7}\times {3.5}^2\times 5+\frac{2}{3}\times \frac{22}{7}\times {3.5}^3$

= 154 cm³