Question

# A juice seller sells juice from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹ 10 for each cylindrical glass of juice whose height is 10 cm and radius is 4 cm. Find the total amount of money he earns by selling the juice.(Take π=227)

A

₹ 220

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B

₹ 110

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C

₹ 170

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D

₹ 190

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Solution

## The correct option is A ₹ 220 Given: Radius of cylindrical container, rc = 10 cm Height of cylindrical container, hc = 35.2 cm Radius of cylindrical glass, rg = 4 cm Height of cylindrical glass, hg = 10 cm Volume of the cylindrical container =πrc2hc=π×102×35.2 Volume of the glass =πrg2hg=π×42×10 Number of glasses of juice that are sold =volume of the cylindrical containervolume of each glass =π×10×10×35.2π×4×4×10 =22 ∴ The amount received by the juice seller = cost of each glass × number of glasses sold =₹ 10×22=₹ 220 [Alternatively, Volume of the cylindrical container =πrc2hc=π×102×35.2 Volume of the glass =πrg2hg=π×42×10 Given that the seller charges ₹ 10 for a glass of height 10 cm and and radius 4 cm. i.e., the seller charges ₹ 10 for a volume of ′π×42×10′ Hence, the amount to be charged for a volume of ′π×102×35.2′ is, (π×102×35.2)×10π×42×10 =₹ 220]

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