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.
Deepak BoraNewbie
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 cm
Volume of cube = a3
= 443
= 85184 cm3
Diameter of shot = 4 cm
So radius of shot, r = 4/2 = 2 cm
Volume of a shot = (4/3)r3
= (4/3)×(22/7)×23
= 704/21 cm3
Number of lead shots made from cube = 85184÷(704/21)
= 85184×21/704
= 2541
Hence the number of shots made from cube is 2541.