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Geometry

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Finding the Volume of Cylindrical Machine Piece

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The Zeno company has just received an order to make 300 metal protectors. The picture of a metal protector is shown below.

"Mechanical Principles (Motors And Drives)." Whatwhenhow RSS. N.p., n.d. Web. 15 Mar. 2016.

The specifications are as follows:
$${ D }_{ 1 }=11 \text{ cm}$$
$${ D }_{ 2 }=8\text{ cm}$$
$$L=22\text{ cm}$$

How much metal will be required to make all 300 protectors? Round your answer to the nearest cubic centimeter0.

A

89,064 cubic cm.

B

295,317 cubic cm.

C

295,467 cubic cm.

D

1,181,268 cubic cm.

E

1,181,867 cubic cm.