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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