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To solve this problem you must apply the proccedure shown below:
 a)
 1. You must rewrite the formula for calculate the volume of a sphere:
 V=4πr³/3
  2. Susbtitue r by d/2 and then solve for d, as following:
 V=4π(d/2)³/3
 V=(4πd³/8)/3
 V=4πd³/24
 24V=4πd³
 d³=24V/4π
 d=∛(24V/4π)
 d=2∛(3V/4π)
 b) V=4πr³/4
 r=d/2
 r=(2/3 cm)/2
 r=1/3 cm=0.33 cm
 V=0.15 cm³