Solids Review (127)

Describe the cross section.

• circle
• oval
• semi-circle
• trapezoid

What shape will the horizontal cross-section of a sphere be?

• Dome
• Circle
• Ellipse
• Rectangle

What 3-D solid is formed when this rectangle is rotated about the vertical line?

• Right, rectangular prism

• Right, circular cylinder

• Right, oval cylinder

• Right, square prism

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

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What is the exact volume of the pyramid?

• 48 cm³
• 144 cm³
• 288 cm³
• 96 cm³

Determine the approximate height of a cone with volume 124 in³ and radius 7 in.

• 2.4 in
• 7.6 in
• 16.9 in
• 8.1 in

What is the radius of a cylinder with volume 300π cm³ and height 12 cm?

• 12.5 cm
• 5√3 cm
• 25 cm
• 5 cm

Determine the exact volume of a sphere with diameter of 12 in.

• 2304π in³
• 288π in³
• 48π in³
• 1296π in³

a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

• True

• False - the cross sectional areas are not relevant

• False - only the slant height is relevant

• False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

Based on Cavalieri's Principle, will the two prisms have the same volume?

• No, they will not be same. Although the heights are the same, the cross-sections are different shapes. 

• Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.