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A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = 22/7)
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- 6.67 cm
- 2.22 cm
- 3.33 cm
- 1.67 cm
- 6.67 cm
Correct Option: A
Volume of sand in cylindrical vessel
= πr²h = π × (4)² × 5 cu. cm. = 80p cu. cm.
According to the question volume of conical shape
= 80π cu. cm.
| ⇒ | πR²H = 80π | |
| 3 |
| ⇒ | × 6 × 6 × H = 80 | |
| 3 |
⇒ 12 H = 80
| ⇒ H = | = 6.67 cm. | |
| 12 |
