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Question
The volume of a cylinder which exactly fits in a cube of side a is ______.
Solution
The volume of a cylinder which exactly fits in a cube of side a is `underlinebb((pia^3)/4)`.
Explanation:
Since, the cylinder that exactly fits in cube of side a, has its height equal to the edge of the cube and radius equal to half the edge of the cube.
∴ Height = a and radius = `a/2`
Now, volume of the cylinder = πr2h
= `pi(a/2)^2a`
= `1/4 pia^3`
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