Question

question :-

A hollow cube of internal edge 39 cm is filled with spherical marbles of diameter 1.5cm and it is assumed that 1/8 space of the cube remains unfilled . Then the number of marbles that the cube can accomodate is ?​

Answer 1

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Answer 2

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Volume of hollow cube =(22)

Volume of hollow cube =(22)

Volume of hollow cube =(22) Radius of marble =

Volume of hollow cube =(22) Radius of marble = 2/0.5

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V =

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 8

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 87V

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 87V∴ Number of marbles =

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 87V∴ Number of marbles = 168/11

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 87V∴ Number of marbles = 168/118/7V

Volume of hollow cube =(22) Radius of marble = 2/0.5/=1Volume of each marble =4πr =168/11cm3 Space of cube occupied by marbles =V− V = 87V∴ Number of marbles = 168/118/7V = 168/11

87×22×22×22

87×22×22×22 =142,296