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Investigation: Explore the volume of pyramids and cones

Interactive practice questions

Two cylinders $X$X and $Y$Y are shown below, each with a height of $15$15 feet.

Which statement about these cylinders is true?

The volume of cylinder $Y$Y is always greater than the volume of cylinder $X$X because the slant height of cylinder $Y$Y is greater than the height of cylinder $X$X.

A

The relationship between the volumes of the two cylinders cannot be determined because the slant height of cylinder $Y$Y is not given.

B

The relationship between the volumes of the two cylinders cannot be determined because the radii of the two cylinders is not given.

C

The two cylinders have the same volume because the heights are the same.

D
Medium
< 1min
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Outcomes

II.G.GMD.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, cavalieri's principle, and informal limit arguments.

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