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Assume that a drop of water is spherical and its diameter is onetenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32,000 drops of water fill the glass completely, then the height of the glass (in cm) is
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- 4
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Correct Option: D
Let Height of glass = h cm
| then Radius = | cm. | |
| 2 |
Volume of glass = volume of 32000 drops
| ∴ | π |  |  | ² | × h | ||
| 3 | 2 |
| = | π | | | ³ | × 32000 | ||
| 3 | 20 |
| ⇒ | = 4 × | × 32000 | ||
| 4 | 8000 |
⇒ h³ = 4³ ⇒ h = 4 cm
