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Which of these pipes will empty a pool the fastest?
(i) One pipe of diameter 60 cm
(ii) Two pipes of diameter 30 cm each
(iii) Three pipes of diameter 20 cm each
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- (i)
- (iii)
- (ii)
- None of these
- (i)
Correct Option: A
If the flow of water per unit time be y km, then
∵ Pipe is in cylinderical shape .
∴ Volume of cylinder ( V ) = πr²h
Greater the radius, larger the capacity of pipe.
Radius is greatest in (i) i.e. 30cm. Hence, pipe with 60 cm diameter will empty the pool fastest. Therefore, V ∝ r²
So , correct answer is option A .
