Question

A toy in shape of a hemisphere of radius 14cm is surmounted by a cone of height 22cm. Find the approximate volume of the toy.

• A. 10266.66 cm³
• B. 17266.67cm³
• C. 15266.67cm³
• D. 12266.67cm³

Answer 1

The correct option is A

10266.66 cm³

The volume of the toy is the sum of the total volume of the hemisphere and volume of cone. Therefore, we have

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

Volume of hemisphere = $\frac{2}{3}\pi r^3$

Volume of cone = $\frac{1}{3}\pi r^{2}h$

Hence total volume, $V=\frac{2}{3}\pi r^3+\frac{1}{3}\pi r^{2}h=10266.66c{m}^3$