If a sphere of radius ' \( a \) ' unit is immersed completely in (W...

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If a sphere of radius ' \( a \) ' unit is immersed completely in
(W) water contained in a right circular cone of semi-vertical angle \( 30^{\circ} \) and water is drained off from the cone till its surface touches the sphere, then the volume of water remaining in the cone is
(a) \( \frac{3 \pi}{5} a^{3} \)
(b) \( 3 \pi a^{3} \)
(c) \( \frac{4}{3} \pi a^{3} \)
(d) \( \frac{5}{3} \pi a^{3} \)
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