Grade 8 McGraw Hill Glencoe - Answer Keys Answer keys

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Grade 8 McGraw Hill Glencoe - Answer Keys

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Power Up Performance Task

Popcorn Packaging

Midvale Theater is considering using cylinders or cones to serve popcorn. The measurements of the proposed cylinder are shown.

Write your answers on another piece of paper. Show all of your work to receive full credit. Use 3.14 for $\pi$.

Question 1 (request help)
Part A

The manager of the theater wants to sell the popcorn in a cone with a diameter of 7 inches. What does the height of the cone need to be in order to hold the same amount of popcorn as the cylinder? Round your answer to the nearest tenth.

in.

Question 1 (request help)
Part B

The monthly popcorn special comes in a bowl that is shaped like a hemisphere. The diameter of the bowl is 10 inches. The theatre sells the cylinder container of popcorn for $5.25. If they sell the bowl of popcorn for $5.00, is it a good deal? Explain your reasoning.

Question 1 (request help)
Part C

Suppose the popcorn containers cost $0.002 per square inch to manufacture. Is it less expensive to produce the cone in Part A or the cylinder? Assume that neither container comes with a lid. Explain your reasoning.