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A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 3 cm and height of the cone is 4 cm. The total surface area of the toy (taking π = 22/7) is
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- 75.43 sq. cm.
- 103.71 sq. cm.
- 85.35 sq. cm.
- 120.71 sq. cm.
- 75.43 sq. cm.
Correct Option: B
Total surface area of the toy = 2πr² + πrl
= πr (2r + √r² + h²)
| = | × 3 (2 × 3 + √3² + 4²) | |
| 7 |
| = | × 3 (6 + 5) | |
| 7 |
| = | = 103.71 sq.cm. | |
| 7 |
