Question

A store sells spherical helium-filled balloons. Each balloon contains 590 cubic inches of helium. What is the radius of the balloon?

Answer 1

Model the balloon as a sphere with radius r and volume V:
$$
V=\frac 4 3 \pi r^3\implies r=\left (\frac{3V}{4\pi}\right )^{1/3}=\left (\frac{3(590)}{4\pi}\right )^{1/3}
$$
That's it!

Answer 2

Do you have any questions?

Answer 3

Nope, thanks :)

Answer 4

wait, so I simplify the last step right?

Answer 5

You can if want. If you don't care about exact, just use a calculator.