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a 4-in hole has been bored through a 6-in cube. what is the approximate volume of the remaining solid? use 3.14 for pi

a 4-in hole has been bored through a 6-in cube. what is the approximate volume of-example-1
User Chris Voss
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2 Answers

1 vote

Answer:

141

Explanation:

User Troy Cosentino
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5.2k points
5 votes

Answer:

The approximate volume of the remaining solid is
140.64\ in^(3)

Explanation:

we know that

The approximate volume is equal to the volume of the cube minus the volume of the cylinder

so


V=b^(3)-\pi r^(2)h

we have


b=6\ in


r=4/2=2\ in -----> the radius is half the diameter


h=6\ in

substitute the values


V=6^(3)-(3.14)(2^(2))(6)=140.64\ in^(3)

User Jeffrey Chung
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6.6k points