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Question

# The diameter of a hollow pipe is 6 cm and it is 14 cm long. What would be the cost of cementing its outer surface if the cost of cementing is ₹ 100 per cm2?

A
₹ 28,600
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B
₹ 26,800
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C
₹ 24,600
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D
₹ 26,400
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Solution

## The correct option is D ₹ 26,400Given, Diameter = 6 cm ⇒ Radius of the pipe, r =62=3 cm Height, h = 14 cm Area to be cemented = Curved surface area of the cylinder (hollow pipe) =2πrh =2×227×3×14 =2×22×3×2 =44×6 =264 cm2 Cost of cementing = ₹ 100 per cm2 Total cost = 264 x 100 = ₹ 26,400 Therefore, cost of cementing outer surface = ₹ 26,400

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