Question

Carter is choosing clay for his pottery class. Clay is sold in three different-shaped solids at the craft store. The dimensions of each of these shapes are shown below. Then answer this: At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Use complete sentences in your explanation. Hint: Which shapes give you more clay for less money?

a. Clay cone
b. Clay cylinder
c. Clay sphere
d. None of the above

Answer 1

The clay cone is the best buy because it gives you more clay for less money.

Step-by-step explanation:

The clay cone is the best buy because it gives you more clay for less money. We can determine this by comparing the volumes of each shape. The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height. The volume of a cylinder is given by the formula V = π * r^2 * h, and the volume of a sphere is given by the formula V = 4/3 * π * r^3. By comparing the volumes of each shape, we can see that the cone has the largest volume compared to its price, making it the best buy for clay in this case.