Awater delivery person is trying to determine the relationship between the mass of the cylindrical containers he
delivers and their diameter in centimeters. the density of the bottles is 1 g/cm3. the height of each bottle is
approximately 60 cm.
a. write a function that represents the relationship between the volume of the cylinder and its diameter.
b. write a function that represents the relationship between the mass and volume of the cylinder.
c. write a function that could be used to determine the mass of one cylinder 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 cylinder with a diameter of 30 cm?