Q. 315.0( 1 Vote )

50 circular discs

Answer :

When 50 circular disks are placed over each other, they form a cylinder with,


Radius, r = Radius of circular disc = 7 cm


Height, h = 50 × Height of each disk = 50(0.5 cm) = 25 cm


Also,


Total Surface area of cylinder = 2πr(r + h)


Where r is base radius and h is the height of cylinder.


Putting values, we get


Total surface area



Also,


Volume of cylinder = πr2h


Volume of given cylinder


When this cylinder is placed in a cubical box of side 25 cm


Space left = Volume of cubical box - Volume of cylinder


[Volume of cube = a3, where a is the side of cube]


Space left = (25)3 - 3850 = 15625 - 3850 =11775 cm3.


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