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Question

Find the total surface area of a hollow right circular cylinder with an inner radius equal to r, outer radius equal to R and height is h.


A

2 π(R+r)(h+R2+r2)

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B

2 π(R+r)(h+Rr)

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C

2 π(R+r)(h+R2r2)

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D

2π(R+r)(hR+r)

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Solution

The correct option is B

2 π(R+r)(h+Rr)


We know that,
Curved surface area of cylinder
=2πrh
Area of circular base
=πr2

Now, total surface area of cylinder
=2πrh + 2πRh + 2π R2 - 2π r2
= 2π (R + r)h + 2π (R2-r2)
= 2 π (R + r)h + 2π (R + r)(R - r)
= 2 π (R + r)( h + Rr)


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