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Question

Mary serves juice to her guests in cylindrical cups of radius 7 in having a height of 10 in. If she serves 25 cups, she will need in3 of juice.

A
3850
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B
38500
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C
77000
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D
1540
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Solution

The correct option is B 38500

Given,

Radius of cylindrical cup, r = 7 in

Height of cylindrical cup, h = 10 in

We know, volume of a cylinder=πr2h

So, putting values we get:
Volume of 1 cylindrical glass=227×72×10
=1540 in3

Now, Mary has served 25 juice cups.

So, total volume of juice Mary needs = Volume of each cup × total number of cups

=1540×25=38500 in3


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