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5 votes
A cylinder is inscribed in a cube. If the edge of the cube is 3" long, find the volume of the cylinder.

in3
27 in3
in3

User Palapapa
by
6.2k points

2 Answers

3 votes

Answer:

27/4 π in^3

Explanation:

Hope this helps.

User Brad W
by
6.9k points
3 votes
we know that
the edge of the cube is equal to the diameter of cylinder
diameter=3 in
radius cylinder=3/2 in

volume of a cylinder=pi*r²*h
r=1.5 in
h is the edge of the cube-----> h=3 in
so

volume of a cylinder=pi*(3/2)²*3-----> pi*(9/4)*3----> (27/4)*pi in³----> 21.21 in³

the answer is
the volume of the cylinder is (27/4)*pi in³ or 21.21 in³

User Samtherock
by
6.2k points
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