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If h, c, v are respectively the height, curved surface area and volume of a right circular cone, then the value of 3πvh³ – c²h² + 9v² is
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- 2
- –1
- 1
- 0
- 2
Correct Option: D
Radius of the base of cone = r units
| ∴ Volume (v) = | πr²h | |
| 3 |
Curved surface area = πr√h² + r²
∴ 3πvh³ - c²h² + 9v²
| = 3π × | πr²h × h³ | |
| 3 |
| - π²r²(h² + r²)h² + 9 × | π²r4h² | |
| 9 |
= π²r²h4 – π²r²h4 – π²r4h² + π²r4h² = 0
