Question

3. Make sense of problems. Peanuts are sold at the baseball game for $3.75. The peanuts

are packaged in containers shaped as cones. The height of the cono is 7 inches and the
base of the cone has an area of 3 in. For the tournament games, management decided to
package the peanuts in a cylinder design rather than as a cone. The cylinder has the same
height and base area as the cone.
a. Compare the volumes of the cone and the cylinder.

b. Determine a price for the peanuts in the cylinder design that is proportionally fair to the original price. Explain your answer.

Answer 1

Answer: a. The volume of the cone is 1/3 the volume of the cylinder; b. The price for the cylinder design should be $11.25.

Step-by-step explanation: The volume of a cone is 1/3 times the height times the base area. The volume of a cylinder is the height times the base area. Since the height and base area are equal, the volume of the cone is 1/3 the volume of the cylinder. Since 3 times as many peanuts can be held in the cylinder, the price should be 3 times higher, or 3.75x3=11.25. Hope this helps!