Cross Sections and Composite Area

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume.

Who is correct?

• Jenny

• Renee

• Neither Jenny or Renee is correct.

Which 3D shape will be formed if the semi-circle is rotated around axis E?

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• 
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According to Cavalieri's Principle, how many disks could fit inside the cylinder?

• 12 disks

• 6 disks

• 10 disks

According to Cavalieri's Principle, how many disks can fit inside of the cone?

• 8 disks

• 12 disks

• 20 disks

• 6 disks

What is the volume of this figure?  

• 12 cubic inches 

• 27 cubic inches 

• 108 cubic inches

• 109 cubic inches

• The base areas are not the same.

• It isn’t true that corresponding cross-sections have the same area.

• The heights are not the same.

• The base areas are not the same.

• It isn’t true that corresponding cross-sections have the same area.

• She did not establish that heights are the same.

• The base areas are not the same.

• It isn’t true that corresponding cross-sections have the same area.

• The heights are not the same.

Which equation would you use to find the volume of this composite figure?

• π(2)²(8) + ⁴/₃π(2)³

• π(2)²(4) + ⁴/₃π(2)³

Which equation would you use to find the volume of this composite figure? 

• 8³ + ⁴/₃π(8)³

• 8³ + ⁴/₃π(4)³

• 8³ + (¹/₂)(⁴/₃)π(4)³