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# Geometry

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The cube below has sides of length 4 feet. If a cylindrical section of radius 2 feet is removed from the solid, what is the total remaining volume of the cube? Express your answer in cubic feet in terms of pi

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Guest Jul 5, 2018
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Hey Guest!

$$\text{volume of the cube} - \text{volume of the cylindrical section} = \text{volume of the remaining solid.}$$

The volume of the cube: $$\text{length} * \text{width} * \text{height} = 4^3 = 64$$

Volume of the cylinder: $$π * \text{radius}^2 * \text{height} = 22π * 4 = 16π$$

$$64-16π=13.73251754\cdots$$

I hope this helped,

Gavin.

GYanggg  Jul 5, 2018