A hemisphere of radius 4 cm is to be shipped in a shipping box of rectangular shape The dimension of...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

A hemisphere of radius 4 cm is to be shipped in a shipping box of rectangular shape. The dimension of the box are consecutive odd numbers.

Quantity I: Minimum volume of box required to have the shipment possible.

Quantity II: 960 cm³

Quantity I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

Quantity I = Quantity II or Relation cannot be established

I: The minimum length of any side of rectangular box should be greater than the diameter of the hemisphere.

Diameter of hemisphere=8;

So for odd number, minimum length= 9,

next side =11, next side=13
Volume=9*11*13= 1287 cm³

Hence, option 1 is the correct answer.

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