This question is Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD for class 10.

How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm.G ive the solution of the question briefly.

This is the Question Number 20, Exercise 17.5 of M.L Aggarwal.

# 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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Edge of the cube, a = 44 cmVolume of cube = a^{3}= 44^{3}= 85184 cm^{3}Diameter of shot = 4 cmSo radius of shot, r = 4/2 = 2 cmVolume of a shot = (4/3)r^{3}= (4/3)×(22/7)×2^{3}= 704/21 cm

^{3}Number of lead shots made from cube =

85184÷(704/21)=

85184×21/704= 2541Hence the number of shots made from cube is 2541.