Rotations of Shapes and Volume

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

Determine the volume of the composite solid. Round your answer to the nearest tenth.

• 150.8

• 1504.1

• 1529.2

• 1680

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

• Dome

• Circle

• Ellipse

• Rectangle

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

• 
• 
• 
• 

• F

• G

• H

• J

• (6,-2)

• (6,2)

• (-2,6)

• (-6,-2)

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