Ex 11.4, 6
A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
Inner radius = r1 = 1 m
Outer radius = r2 = 1 m + 1 cm
= 1 m + 1/100 m
= 1 m + 0.01 m
= 1.01 m
Volume of iron used = Volume of outer hemisphere
Volume of inner hemisphere
= 2/3 r23 2/3 r13
= 2/3 (r23 r13 )
= 2/3 22/7 [(1.01)3 (1)3] m3
= 44/21 (1.030301 1) m3
= (44/21 0.030301) m3
= 0.06348 m3

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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