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Question
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.
Solution
Given that,
Inner radius `(r_1)` of hemispherical tank = 1cm =`r_1`
Thickness of hemispherical tank =1cm= 0.01m
Outer radius` ( r_2)` of the hemispherical = (1+0.01m)=1.01m
=`r_2`
Volume of iron used to make the tank `=2/3π (r_2^3-r_1^3)`
`=2/3xx22/7[(1.01)^3-1^3]`
=`44/21[1.030301 -1]m^3`
=`0.06348m^3 ` (Approximately)
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