3. a department store manager is planning to move some cement spheres that have served as traffic barriers for the
front of her store. she is trying to determine the relationship between the mass of the spheres and their diameter
in meters. she knows that the density of the cement is approximately 2,500 kg/m3.
a. write a function that represents the relationship between the volume of a sphere and its diameter. explain
how you determined the equation.
b. write a function that represents the relationship between the mass and the volume of the sphere. explain
how you determined the function.
c. write a function that could be used to determine the mass of one of the cement spheres based on its
diameter. interpret the equation in context.
d. determine an appropriate domain and range for part (c).
e. what is the approximate mass of a sphere with a diameter of 0.9 m?