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Geometry Regents Prep: Volume

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Volume from Reference Table

Try the following practice question.

The radius of the base of a cone is 3 $m$ , and its height is 4 $m$ . What is the volume of the cone, in terms of $\pi$ ?

$12\pi m^3$

$144\pi m^3$

$36\pi m^3$

$48\pi m^3$

Volume of a Prism

Try the following practice question.

A hexagonal prism has a height of 8 $ft$ . The area of its base is 7 $ft^2$ . What is the volume of the hexagonal prism?

$56 ft^3$

$15 ft^3$

$336 ft^3$

$90 ft^3$

Complicated Cone Question

Try the following practice question.

A cone-shaped container is filling with water. The height of the cone is 20 $in$ and the radius is 4 $in$ . If the water is filled to a height of 10 $in$ , what is the volume of the water in the container, to the nearest tenth?

$97.1 in^3$

$1,005.3 in^3$

$41.9 in^3$

$125.7 in^3$

Volume of a Prism with a Complicated Base

Try the following practice question.

A prism has a square base with sides of lengths 3 $cm$ . The height of the prism is 9 $cm$ . A square whole with sides of lengths 2 $cm$ goes through the prism from one base to the other. What is the volume of the prism?

$81 cm^3$

$45 cm^3$

$77 cm^3$

$73 cm^3$

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