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A hemispherical tank is made up of an ir...

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

Text Solution

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Volume=Outer hemisphere volume-inner hemisphere volume
=`2/3pi(r_(outer)^3-r_(inner)^3)`
=`2/3pi(a-b)(a^2+b^2+ab)`
=`2/3pi(1)((1.01)^2+1^2+1(1.01))`
=`6.3428*10^(-2)m^3`
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