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Volumes Practice Test 1

Question : 8 of 40

Marks: +1, -0

Solution: 👈: Video Solution

Concept:

Volume of water removed equals the volume of the cylindrical layer by which the water level falls.

Explanation:

Convert litres to cubic centimetres:

11\ \text{litres}=11\times1000=11000\ \text{cm}^3

Radius of the tank:

r=\frac{35}{2}\ \text{cm}

Let the drop in water level be

h

Volume formula:

V=\pi r^2h

So,

\frac{22}{7}\times\left(\frac{35}{2}\right)^2\times h=11000

Solving gives

h=\frac{11000}{\frac{22}{7}\times\frac{1225}{4}}

Simplify:

h=\frac{80}{7}=11.428\ \text{cm}

Answer:

The drop in water level is

11.428\ \text{cm}

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