Solids and Cross Sections

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.

When this is rotated, what is the radius of the cone that is formed?

When this is rotated, what is the height of the cylinder formed?

When this is rotated, what is the height of the cone that is formed?

When this is rotate what is the radius of the cylinder that is formed?

A circle is continuously rotated about its diameter. Which three dimensional object will be formed?

• cone

• prism

• sphere

• cylinder

Find the volume of the figure.

• 1,800 cm³

• 900 cm³

• 600 cm³

• 750 cm³

Find the volume of the following cone.

• 156 ∏ m³

• 702∏ m³

• 2,106∏ m³

• 78∏ m³

How much grain could fit in this silo? Round your answer to the nearest cubic meter.

• 810 m³

• 733 m³

• 581 m³

• 177 m³

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter. 

• 216 cm³

• 25 cm³

• 100 cm³

• 191 cm³