Question

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed in the tub. If the radius of the a hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm, find the volume of the water left in the tub.

• A. 616 cm³
• B. 200 cm³
• C. 600 cm³
• D. 550 cm³

Answer 1

The correct option is A

616 cm³

Volume of hemisphere$=\frac{2}{3}\times \pi r^3$
$=\frac{2}{3}\times \frac{22}{7}\times (3.5{)}^2$
$=\frac{269.5}{3}c{m}^3$