The volume is added to a spherical balloon whose radius grows from 10 to 20 inches long will be 29321.53 cubic inches.
The term “volume” refers to how much three-dimensional space an object or closed surface takes up. It is denoted by V and its SI unit is in cubic cm.
The volume of the sphere is;
[tex]\rm v= \frac{4}{3} \pi r^3[/tex]
The volume of the smaller sphere is;
[tex]\rm V_S= \frac{4}{3} \times 3.14 \times 10^3 \\\\ V_S= 4188.79 \ cubic \ inches[/tex]
The volume of the large sphere is;
[tex]\rm V_L = \frac{4}{3} \pi r_l^3 \\\\ \rm V_L = \frac{4}{3} \times 3.14 i (20)^3 \\\\ V_L= 33510.32 \ cubic \ inches[/tex]
The volume added to the sphere is found as;
[tex]\rm V= V_L-V_S \\\\ V= 33510.32 -4188.79 \\\\ V=29321.53 \ cubic \ inches[/tex]
Hence, the volume is added to a spherical balloon whose radius grows from 10 to 20 inches long will be 29321.53 cubic inches.
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