Question

Question #6e9f3

Answer 1

`V = 3.31 * 10^(-29)"m"""^3`

Explanation:

All you really need to do here is plug the value of `r` in the formula for the volume of the sphere and solve for `V`.

Before doing that, convert the radius from picometers to meters

`199color(red)(cancel(color(black)("pm"))) * "1 m"/(10^12color(red)(cancel(color(black)("pm")))) = 199 * 10^(-12)"m"`

The volume of the sphere - expressed in cubic meters - will be

`V = 4/3 * pi * r^3`

`V = 4/3 * pi * (199 * 10^(-12)"m")""^3`

`V = 4/3 * pi * 7,880,599 * 10^(-36)"m"""^3`

`V = 33,101,176 * 10^(-36)"m"""^3`

Round this off to three sig figs, the number of sig figs you gave for the radius of the sphere, to get

`V = color(green)(3.31 * 10^(-29)"m"""^3)`