Rotation to Solids

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

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

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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?

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V = ?

• 1,077.02 yd³

• 269.392 yd³

• 153.86 yd³

Describe the cross section.

• circle

• oval

• semi-circle

• trapezoid

Match the solid below to the two dimensional shaded region that, upon rotation about the bold axis, would produce the solid. (Note: figures not necessarily drawn to scale.)

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

• Dome

• Circle

• Pyramid

• Triangle

Answer explanation

The horizontal cross-section of a cone is a circle. As you slice through the cone parallel to its base, the shape of the cut will always be circular, regardless of the height at which the cut is made.

A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.

• circle

• triangle

• hexagon

• rectangle

Answer explanation

When a sphere is cut by a horizontal plane, the cross section formed is a circle. This is because all points on the edge of the cut are equidistant from the center of the sphere, resulting in a circular shape.

Match the two dimensional shaded region below to the solid formed by rotating the region about the bold axis. (Note: figures not necessarily drawn to scale.)

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