Question

The volume V of a sphere is four thirds π times the cube of its radius. Express the volume V of the sphere as a function of the radius r.

Answer 1

Just translate the key words they give you.
`is` means `equals`.

Volume = 4/3(pi) times r^3.
Yes?
Simple as that.
To show that Volume is a `function` of the radius, we can use function notation.
Replace the V with V of r.
\(\Large\rm V(r)=\dfrac{4}{3}\pi r^3\)

Answer 2

Thanks!