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Question

A conical shaped container with height 21 cm has area of its base equal to 154 cm2. Find the number of lemons (somewhat spherical in shape) that can be put in the container if each lemon has a radius of 1.4 cm.

A

80
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B

84
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C

90
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D

94
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Solution

The correct option is D
94
Volume of cone
=13πr2h=13×154×21=1078 cm3

Volume of a lemons (spherical)
=43×π×r3=43×227×1.4×1.4×1.4=11.5 cm3

Volume of cone = Number of lemons × Volume of one lemons
Number of lemons=Volume of the coneVolume of one lemons =1078 cm311.5 cm3 =93.74 94 lemons

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