How many spherical lead shots each 4.2cm in diameter can be obtained from a rectangular solid (cuboid) of lead with dimensions 66cm,42cm,21cm. (Take π=227)
A
1500
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B
1200
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C
1300
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D
1600
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Solution
The correct option is A1500 Volume of a sphere=43πr3
As the diameter of the sphere is 4.2 cm, its radius r=2.1 cm
Volume of a cuboid of length l, breadth b and height h=l×b×h.
Number of lead shots formed =Volume of lead cuboidVolume of one lead shot sphere
Hence, number of lead shots formed =66×42×2143×227×2.1×2.1×2.1=1500