Question

A cylindrical tank of diameter 35cm is full of water. If 11 litres of water is drawn off the water level in the tank will drop by ?

Answer 1

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Answer 2

The water level in the tank will drop by 11.4 cm

Solution:

Given that,

$Diameter = 35\ cm\\\\Radius = \frac{35}{2} = 17.5\ cm$

Volume = 11 liters = 11000 $cm^3$

Let initial height = H

Final height = h

The volume of cylinder is given as:

$volume = \pi r^2 h$

Then, according to question,

$\pi \times 17.5^2 \times H - \pi \times 17.5^2 \times h = 11000\\\\\pi \times 17.5^2 ( H - h ) = 11000\\\\961.625 (H - h) = 11000\\\\H - h = 11.4$

Thus, water level in the tank will drop by 11.4 cm

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