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Direction: Each of the following questions consists of 3 statements A, B and C. You have to determine that which of the following statement/statements are necessary to answer the questions:
Find the volume of the solid formed by carving out a right circular cone from a hemisphere of radius R cm, such that the base of the hemisphere is the base of the cone and the volume of the cone is maximum –
a : Volume of the cone is 9π cm3.
b : Ratio of the total surface area of the cone to the hemisphere is (√2+1 : 3)
c : Curved surface area of the hemisphere is 162π sq.cm.

### Options :-

1. either a or c
2. both a and b together
3. All together are necessary
4. Only b alone or a & c together
5. Only a
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