find the volume of 4ft by 2ft by 3ft rectangular prism with a cylinder hole, radius 6 in., through the center

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25-11-2016
Mathematics

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find the volume of 4ft by 2ft by 3ft rectangular prism with a cylinder hole, radius 6 in., through the center

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-11-25T20:11:20+01:00

MissPhiladelphia MissPhiladelphia

25-11-2016

Just subtract the volume of the cylinder from the volume of the rectangular prism.

Volume of rectangular prism = l x w x h = 4 x 2 x 3 = 24 ft^3
Volume of cylinder = pir^2h = pi*(6/12)^2*3 = 3/4 pi

Thus the volume would be

24 - 3/4 pi = 21.64 ft^3.

The volume would be 21.64 ft3

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