Cross-Sections and Rotations Calculus

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

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

• Dome

• Circle

• Ellipse

• Rectangle

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

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Select the 2D object that can be rotated to form the 3D object shown.

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Click the correct answer.

The point (8,6) is rotated 90 degrees clockwise. What is the coordinate of the new point?

Describe the cross section.

• triangle

• rectangle

• oval

• trapezoid

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

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Select the 2D object that can be rotated to form the 3D object shown.

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

• A

• B

• C

• D