Answer:
Answer is 791.28 [tex]cm^{3}[/tex]
Step-by-step explanation:
First we need to calculate the volume of each balloons by using the formula
volume of sphere with radius r is
V = 4/3 π [tex]r^{3}[/tex]
Balloon 1.
r1 = 3 cm
V1 = 4/3 × 3.14 × [tex]3^{3}[/tex]
V1 = 113.04 [tex]cm^{3}[/tex]
Balloon 2.
r2 = 6 cm
V2 = 4/3 × 3.14 × [tex]6^{3}[/tex]
V2 = 904.32 [tex]cm^{3}[/tex]
Therefore we subtract small volume of balloon from large volume of balloon
= V2 - V1
= 904.32 [tex]cm^{3}[/tex] - 113.04 [tex]cm^{3}[/tex]
= 904.32 - 113.04 = 791.28 [tex]cm^{3}[/tex]
