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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