Question

the formula for the volume of a sphere is V equals 4/3 pi r to the third approximately what is the volume of a spherical grain of sand with a radius of 5 x 10 to the negative 3rd centimeters

Answer 1

The volume of the spherical grain is of 1.13*10^-7 cubic centimeters.

Explanation:

The volume of a sphere with radius r is given by the following formula:

`V=(4\pi r^3)/(3)`

In this question:

The spherical grain has volume of 5*10^-3 centimeters = 0.005. So r = 0.005. Then

`V=(4\pi r^3)/(3)=(4\pi(0.005)^3)/(3)=1.13\ast10^(-7)`

The volume of the spherical grain is of 1.13*10^-7 cubic centimeters.