Calculus 2 Solids of Revolution

Semicircle is rotated @ x-axis

What geometric figure is formed?

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what is the volume of the cone formed by rotating this triangle about the x axis?

• 113.04 u³

• 339.12 u³

• 169.56 u³

• 56.52 u³

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

if this triangle is rotated about the x axis, what figure is formed?

• pyramid

• cylinder

• cone

• frustum

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

• cylinder

• rectangle

• square

• triangle

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

• frustum

• circle

• sphere

• cylinder

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