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Water flows from a tap into cylindrical container at the rat...

Water flows from a tap into cylindrical container at the rate 5πcm3 per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

A.

2cm

B.

5cm

C.

8cm

D.

15cm

Correct answer is B

Volume of water after 9 seconds = 5π×9=45πcm3

Volume of cylinder = πr2h

\pi \times 3^2 \times h = 45\pi

\implies 9h = 45

h = 5 cm

(where h = height of the water after 9 secs)