The surface area of a cylinder

Question:

The surface area of a cylinder which exactly fits in a cube of side b is

__________.

Solution:

 πb2

Explanation:

When the cylinder exactly fits in the cube of side “b”, the height equals to the edges of the cube and the radius equal to half the edges of a cube.

It means that,

h = b, and r = b/2

Then the CSA of a cylinder be = 2πrh

= 2π (b/2)(b)

= πb2

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