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Question

Juice is filled upto a height of 64 cm in a cylindrical container of radius 30 cm. It is served in small cylindrical cups of radius 6 cm and height 16 cm. If each cup is sold at ₹ 3, how much money can be earned by selling the juice?


A

₹ 600

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B

₹ 100

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C

₹ 900

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D

₹ 300

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Solution

The correct option is D

₹ 300


Total volume of juice in the cylindrical container
=πr2h
=π×302×64

Volume of 1 cylindrical cup
=πr2h
=π×(62)×16

Now,
Total volume of juice in the cylindrical container
= Volume of 1 cylindrical cup × Number of cups (n)
π×302×64
= Number of cups (n) × π×62×16

n=π×302×64π×62×16 = 57600576
Number of cups (n) = 100.

Hence, the net amount earned
= Rate × Number of cups
= ₹ 3 × 100
= ₹ 300.


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