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In a right circular cone, the radius of its base is 7 cm and its height 24 cm. A cross-section is made through the midpoint of the height parallel to the base. The volume of the upper portion is
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- 169 cm³
- 154 cm³
- 1078 cm³
- 800 cm³
- 169 cm³
Correct Option: B
In ∆APD and ∆AOC
| = | [∵ ∆APD ≅ ∆AOC] | |||
| AO | OC |
| PD = | = | = 3.5 cm | ||
| AO | 24 |
| ∴ Volume = | πr² × h | |
| 3 |
| = | × | × 3.5 × 3.5 × 12 | ||
| 3 | 7 |
= 154 cm³
