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
