A solid sphere of radius \( R \) made of a material of bulk modulus \( B \) is surrounded by a l...

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A solid sphere of radius \( R \) made of a material of bulk modulus \( B \) is surrounded by a liquid in a cylindrical container. A massless piston of area \( A \) floats on the surface of the liquid. When a mass \( M \) is placed on the piston to compress the liquid, the fractional change in the radius of the sphere \( \frac{\delta R}{R} \) is
(a) \( \frac{M g}{B A} \)
(b) \( \frac{M g}{2 B A} \)
(c) \( \frac{M g}{3 B A} \)
(d) \( \frac{M g}{4 B A} \)
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