A large ball 2m in radius is made up of a rope of square cross section with edge length 4mm. Neglecting the air gaps in the ball‚ what is the total length of the rope to the nearest order of magnitude
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Explanation:
Vol.of large ball=4/3xπ x2^3 m^3.
Area of square cross-section= 4x4 =16 mm^2 = 16/1000000
= 16 x 10^-6 m^2
16 x10^-6 x L= 4/3 x 22/7 x 8
(Where L= Length of the rope)
L= (4/3 x 22/7 x 8 x 10^6)/(4 x 4)
=44/3 x (1/7) x 1000000q
=2.0952 x 10^6- meters
=2095 Km.
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