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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 32000 drops of water fill the glass completely, then the height of the glass (in cm.) is
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- 3
- 1
- 4
- 2
- 3
Correct Option: C
| Volume of one drop of water = | πr³ | |
| 3 |
| = | × π × |  |  | ³ | cube cm. | ||
| 3 | 20 |
&there; Volume of 32000 drops of water
| = | × | cubic cm. = | cu.cm. | |||
| 3 | 20 × 20 × 20 | 3 |
| ∴ Volume of glass = | πR²H; Here, R = | |||
| 3 | 2 | |||
| ∴ | π | | | ² | H = | = 16 | |||
| 3 | 2 | 3 |
| ⇒ | = 16 | ||
| 4 | |||
⇒ H³ = 64
∴ H = 64/3 = 4 cm.
