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Volumes Practice Test 3

Question : 1 of 40

Marks: +1, -0

Solution:

Concept:

The rise in water level equals the volume of the immersed cube divided by the cylinder's internal base area.

Explanation:

Internal radius:

r = \frac{20}{2} = 10\ \mathrm{cm}

Volume of cube:

V = 11^3 = 1331\ \mathrm{cm}^3

Let the water rise be

h

Volume displaced:

\pi r^2 h = V

So,

h = \frac{1331}{\pi \times 10^2}

Using

\pi = \frac{22}{7}

h = \frac{1331 \times 7}{22 \times 100}

h = 4.235\ \mathrm{cm}

Answer:

The water level rises by

4.235\ \mathrm{cm}

, so option A is correct.

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