Explain the question using formulas given in the chapter.
Class 10th Cbse, RD Sharma.
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11. How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm?
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Solution:
Given,
The radius of each spherical lead shot = r = 4/2 = 2 cm
Volume of each spherical lead shot = 4/3 πr3 = 4/3 π 23 cm3
Edge of the cube = 44 cm
Volume of the cube = 443 cm3
Thus,
Number of spherical lead shots = Volume of cube/ Volume of each spherical lead shot
= 44 x 44 x 44/ (4/3 π 23)
= 2541