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A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).
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- 104 cm³
- 162 cm³
- 427 cm³
- 266 cm³
- 104 cm³
Correct Option: D
Radius of cone = 4.2cm
Height of cone = 10.2 – 4.2 = 6cm
Volume of the toy = Volume of cone + Volume of hemisphere
| = | π(4.2)² × 6 + | π (4.2)³ | ||
| 3 | 3 |
| = | π(4.2)²(6 + 2 × 4.2) | |
| 3 |
| = | × | × 4.2 × 4.2 × 14.4 | ||
| 3 | 7 |
= 266 cu.cm.
