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Question

# What is the formula for the lateral surface area of the given frustum: Where, R1 = radius of the base L = length of lateral side of the bigger cone of which the frustum is a part R2 = radius of the top surface l = length of lateral height of cone - lateral height of frustum(s) (L - s)

A

π(R1LR2l)

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B

πR21hπR2l

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C

π(R21hR22l)

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D

None of these

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Solution

## The correct option is A π(R1L−R2l) Lateral surface area of the bigger cone of which the frustum is a part =πR1L Lateral surface area of the cone which is removed from the bigger cone =πR2l Now, l=Slant height of the bigger cone−Slant height of the frustum ⇒l=L−s Lateral surface area of the cone which is removed from the bigger cone =πR2(L−s) =πR2l ∴ Lateral surface area of the frustum = Lateral surface area of the bigger cone of which the frustum is a part - Lateral surface area of the cone which is removed from the bigger cone =πR1L−πR2l The lateral surface area of frustum =π(R1L−R2l)

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