Rotating 3D Solids

what is the volume of the cylinder formed when this figure is rotated about the x axis?

• 1004.8 u³

• 334.9 u³

• 314 u³

• 392.5 u³

All solids of revolution are:

• rectangular

• circular

• pyramids

• 2D

what figure was rotated about the y axis to produce this cylinder?

• cylinder

• rectangle

• square

• triangle

what is the volume of this cylinder?

• 113.04 u³

• 37.68 u³

• 24 u³

• 12 u³

what figure is formed when this circle is rotated around the x axis?

• frustum

• circle

• sphere

• cylinder

what common object would resemble this circle rotated around the x axis?

• ball

• can

• donut

• lamp

if this 2D shape was rotated around the x axis, what common object would it resemble?

• box

• bowl

• pyramid

• triangle

what 2 3D shapes would you break the solid of revolution into in order to find its volume?

• rectangle and trapezoid

• cone and prism

• pyramid and prism

• frustum and cylinder

Which 3 dimensional object would result from rotating the figure around the axis drawn?

• sphere

• triangular prism

• Cylinder

• cone

What is the formula for the volume of a cylinder?

• V = 2πr²h

• V = πr²h