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There are seven hemispherical containers of radius R metres each and each of them is fully filled with water. The water in these is transferred to a hemispherical container of radius equal to 1.5 times of R such that a maximum number of smaller containers get emptied out. How many smaller containers remain fully filled when the larger container gets fully filled?
5
4
3
2
- Volume of a smaller hemispherical container:
Formula: V= (2/3) x Pi x R3
- Volume of the larger hemispherical container (radius 1.5R):
Formula: V = (2/3)xPix (1.5R)3
- Volume of the larger container come out to be 3.375 times that of the smaller one.
=> Only 3 full smaller containers can fill the larger one.
- Smaller containers remaining filled once larger one is full:
=> 7 - 3 = 4
- Correct Option:
Option: 2, 4
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