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Volumes Practice Test 2

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Question : 7 of 40

Marks: +1, -0

A conical vessel of radius 6 cm and height 8 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides it is just immersed. What fraction of water overflow?

$\frac{1}{8}$
$\frac{1}{4}$
$\frac{3}{8}$
$\frac{1}{2}$

Solution:

Here, required fraction of water =

\frac{\frac{4}{3} \pi \cdot (3^{3})}{\frac{1}{3} \pi \cdot (6)^{2}}

=

\frac{4 \times 27}{36 \times 8}

=

\frac{3}{8}

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