Question #6e9f3

1 Answer
Aug 30, 2015

Answer:

#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)#