Q. 315.0( 1 Vote )
50 circular discs
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
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
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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