Question 55

Water flows at the rate of 10 metres per minute from a cylinderical pipe whose internal radius is 0.5 cm. How long would it take to fill a conical vessel with top radius 20 cm and depth 21 cm?

Solution

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Volume of water flowing per minute $$\pi\ \left(0.5\right)\left(0.5\right)1000$$     Volume of the conical vessel $$\frac{1}{3}\pi\ \left(20\right)\left(20\right)\left(21\right)$$

Total time required $$\frac{1}{3}\pi\ \frac{\left(20\right)\left(20\right)\left(21\right)}{\pi\ \left(0.5\right)\left(0.5\right)\left(1000\right)}$$

This on solving comes out to be 11.2 minutes

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