Answer:
A large container is a better deal because for a large container the amount of jam per dollar is greater thank that in the three smaller containers.
Explanation:
What is the volume of a cylinder?
The volume of a cylinder is given by -
V[c] = πr²h
Given is Terrel who has to buy either one large jar or three small jars of jam. A small jar has a diameter of 6 cm, a height of 7 cm, and costs $4. A large jar has a diameter of 8 cm, a height of 16 cm, and costs $12.
For one large container, its volume will be -
V[L] = πr²h = 22/7 x 4 x 4 x 16 = 804.56 cm³
Amount of jam per dollar = V[1] = 804.56 / 12 = 67.04 cm³
For three small containers, the total volume will be -
V[S] = πr²h = {22/7 x 3 x 3 x 7} x 3 = 594 cm³
Amount of jam per dollar = V[2] = 594 / 12 = 49.5 cm³
It can be seen that for a large container the amount of jam per dollar is greater than that in the three small container. Hence, a big container would be a better deal for Terrell.
Therefore, a large container is a better deal because for a large container the amount of jam per dollar is greater than that in the three small container.