Surface Area and Volume of 3D Objects

The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.

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Tags

8.7.A

if this triangle is rotated about the x axis, match the correct items below

• radius

• cone

• height

• 6 units

• solid of revolution

• volume

• 3 units

Find the slant height of the pyramid.

• 28 cm

• 25 cm

• 21 cm

• 24 cm

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

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

• A

• B

• C

• D

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

What is the area of the cross-section if the diameter of the base is 6 feet and the height of the cylinder is 8 feet.

• 24 ft²

• 48 ft²

• 8 ft²

• 4 ft²

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

• Rectangular prism

• Circular cylinder

• Oval cylinder

• Donut-shaped prism