Question

Please help me please help me the problems are up above

Answer 1

The volume of a sphere with radius $r$ is $\frac{4}{3}\pi r^3$. If the radius is multiplied by a constant $k$, then the new volume is $\frac{4}{3} \pi (kr)^3$, which is equal to $k^3 \cdot \frac{4}{3} \pi r^3$. This means that the volume of the sphere is multiplied by $k^3$.

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