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  1. How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius?
    1. 1792
    2. 3584
    3. 4824
    4. 7168
Correct Option: D

Volume of cylinder = πr²h = (π × 6 × 6 × 56) cu. cm.

Volume of hemi-spherical ball =
2
π × 0.75 × 0.75 × 0.75 cubic unit
3

∴ Total number of balls =
π × 3 × 3 × 8
2
π × 0.75 × 0.75 × 0.75
3

= 7168



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