Question: A solid rubber ball of radius 10 cm is submerged to 8.0 m beneath the surface of a lake. (a) If the bulk modulus of

A solid rubber ball of radius 10 cm is submerged to 8.0 m beneath the surface of a lake.

(a) If the bulk modulus of the rubber compound is B_rubber = 4.0 × 10⁶ Pa, what is the diameter of the ball at that depth?

(b) A similar ball of equal radius, but made of thin rubber inflated with air, is also submerged to the same depth. If the bulk modulus of the air inside the ball under these conditions is B_air = 1.4 × 10⁵ Pa, what is the radius of this ball at that depth? (Ignore any effects of temperature.)

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