Surface Area and Volume of 3D Objects

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

• 
• 
• 
• 
• 

Tags

8.7.A

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

• radius

• 6 units

• solid of revolution

• 3 units

• height

• cone

• volume

Tags

CCSS.7.G.A.3

Find the slant height of the pyramid.

• 28 cm

• 25 cm

• 21 cm

• 24 cm

Tags

CCSS.HSG.SRT.C.8

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?

(a)  

Tags

CCSS.7.G.A.3

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

• A

• B

• C

• D

Tags

CCSS.7.G.A.3

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

(a)  

Tags

CCSS.HSG.MG.A.1

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

Tags

CCSS.7.G.A.3

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

• Rectangular prism

• Circular cylinder

• Oval cylinder

• Donut-shaped prism

Tags

CCSS.7.G.A.3