Question

A cylinder of radius R is moving down with speed v into water placed in a cylinder of radius 4R as shown in the figure. Find the rate at which water surface is rising

Answer 1

Answer:

I hope it will helps you

Answer 2

Answer: 16 units/second

Explanation:

• Volume of cylinder with radius R=$\pi r^{2}h$
• Volume of cylinder with radius 4R=$\pi (4r)^{2}h$
• The water level in the cylinder will rise as the cylinder will move down which means the volume of cylinder as goes down will increase the water level.
• Rate of change of water level will be=$\frac{\pi 16r^{2}h}{\pi r^{2}h}$

                                                                     =16

• Hence, the rate of change of water level is 16 units/second.

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