Question

# The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.

A

1.75 m

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B

3.5 m

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C

7 m

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D

6 m

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Solution

## The correct option is A 1.75 m The cost of painting the inner curved surface = Rs. 8800. Cost of painting per square meter = Rs. 40 Hence, area that was painted = 220 m2 Thus inner curved surface area = 220 m2 Inner curved surface area of cylinder = 2 πrh Height of cylinder = 20 m ⇒ 2 πr(20) = 220 ⇒ r =220×720×2×22 ⇒ r = 1.75 m Hence, radius of the cylinder = 1.75 m

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