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A hollow spherical metallic ball has an external diameter 6 cm and is 1 2 cm thick. The volume of the ball (in cm³) is (Take π = 22/7)
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41 2 3
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37 2 3
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47 2 3
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40 2 3
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Correct Option: C
External radius,
| R = | = 3 cm | |
| 2 |
Internal radius, r
| = 3 - | = | cm. | ||
| 2 | 2 |
| ∴ Volume of hollow sphere (material) = | π (R³ - r³) | |
| 3 |
| = | π |  | 3³ - |  |  | ² |  | cm² | ||
| 3 | 2 |
| = | × | | 27 - | | cm³ | |||
| 3 | 7 | 8 |
| = | × | | | cm³ | |||
| 3 | 7 | 8 |
| = | × | × | |||
| 3 | 7 | 8 |
| = | = 47 | cm³ | ||
| 3 | 3 |
