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

Solution:

When a cylinder exactly fits inside a cube of side ‘b’ the radius of the cylinder becomes b/2

The curved surface area = 2πrh

r = b/2

h = b

The curved surface area = 2π(b/2)b = πb².

✦ Try This: The surface area of a cylinder which exactly fits in a cube of side 2b is________.

When a cylinder exactly fits inside a cube of side ‘b’ the radius of the cylinder becomes b

The curved surface area = 2πrh

r = b

h = 2b

The curved surface area = 2π(b)(2b) = 4πb².

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

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NCERT Exemplar Class 8 Maths Chapter 11 Problem 37

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

Summary:

The surface area of a cylinder which exactly fits in a cube of side b is πb²

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