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Question
The surface area of a cylinder which exactly fits in a cube of side b is ______.
Solution
The surface area of a cylinder which exactly fits in a cube of side b is πb2.
Explanation:
Since, the cylinder that exactly fits in a cube of side b, has its height equal to the edge of the cube and radius equal to half the edge of the cube.
∴ Height = b and radius = `b/2`
Now, curved surface area of the cylinder = 2πrh
= `2pi xx b/2 xx b`
= πb2
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