The volume of a sphere with radius [tex]r[/tex] is [tex]\frac{4}{3}\pi r^3[/tex]. If the radius is multiplied by a constant [tex]k[/tex], then the new volume is [tex]\frac{4}{3} \pi (kr)^3[/tex], which is equal to [tex]k^3 \cdot \frac{4}{3} \pi r^3[/tex]. This means that the volume of the sphere is multiplied by [tex]k^3[/tex].
a. If the radius is doubled, the volume is multiplied by 8
b. If the radius is tripled, the volume is multiplied by 27
c. if the radius is quadrupled, the volume is multiplied by 64
