Modeling with Periodic Functions

Question 1

Look at the two stacks of coins. Each stack contains the same type and number of coins.Make a conjecture. How do the stacks compare? Check all that apply.

Revolt · Accepted Answer

The two stacks are the same height.; The area of a coin face in one stack is the same as the area of a coin face that lies in the same horizontal plane.; The two stacks have equal volume.

Question 2

Complete the steps to find the width of the prism.

Revolt · Accepted Answer

5.7

Question 3

Is Erik’s statement correct? Why or why not?

Revolt · Accepted Answer

No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Question 4

If the prisms are the same height, how do their volumes compare?

Revolt · Accepted Answer

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Question 5

Complete the steps to find the width of the prism.

Revolt · Accepted Answer

40x

Question 6

Which expressions represent the volume of the composite figure (the shaded figure)? Check all that apply.

Revolt · Accepted Answer

(7)(12)(10) – π(32)(10); 280 – 30π

Modeling with Periodic Functions Answers

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