Three Dimensional Geometry

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi. Answer just with a number.

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3 Dimensional- Volume

A student has a rectangular postcard that he folds in half lengthwise. Next he rotates it continuously about the folded edge. Which three dimensional object below is generated by the rotation?

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3-Dimensional Cross-sections and Rotations

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around side AB?

• 24π

• 32π

• 48π

• 96π

• 144π

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3-Dimensional Cross-sections and Rotations

3 Dimensional- Volume

What is the volume of this triangular prism?

• 13 m³

• 72 m³

• 30 m³

• 36 m³

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

• 24,280 cubic feet

• 16,430 cubic feet

• 11,720 cubic feet

• 4,480 cubic feet

V = ?

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.

• The volume of Ball 1 is 8 times the volume of Ball 2.

• The volume of Ball 1 is twice the volume of Ball 2.

• The volume of Ball 2 is 8 times the volume of Ball 1.

What is the volume of the composite solid?

• 301.6 cm³

• 502.7 cm³

• 268.1 cm³

• 167.6 cm³

Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

• False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

• True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

• False. The cross-sections are not the same shape.

• True. All the shapes are 3-D figures and the same height.

What shape will the vertical cross -section of a cylinder be?

• Circle

• Triangle

• Rectangle

• Ellipse