A hemispherical tank is made of 1 cm thick iron sheet. If its internal radius is 1 m, find the volume of the steel used in making the tank.
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iron sheet is 1cm = 0.01 m thick
inner radius is 1m
so the radius of the tank becomes 0.01 + 1 = 1.01cm
Inner radius (r 1 ) = 1 m
Thickness = 1 cm = 0.01m
Outer radius (r 2 ) = (1+ 0.01) m = 1.01 cm
Volume of hemisphere = 2/3 π( r 2 cube - r 2 cube )
V = 2/3 x 3.14 x ( 1.01 cube - 1 cube) cube
V = 2/3 x 3.14 (1.030301 – 1)
V = 2/3 x 3.14 x 0.030301
V = 0.06343 m 3
inner radius is 1m
so the radius of the tank becomes 0.01 + 1 = 1.01cm
Inner radius (r 1 ) = 1 m
Thickness = 1 cm = 0.01m
Outer radius (r 2 ) = (1+ 0.01) m = 1.01 cm
Volume of hemisphere = 2/3 π( r 2 cube - r 2 cube )
V = 2/3 x 3.14 x ( 1.01 cube - 1 cube) cube
V = 2/3 x 3.14 (1.030301 – 1)
V = 2/3 x 3.14 x 0.030301
V = 0.06343 m 3
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A hemispherical tank is made of 1 cm thick iron sheet. If its internal radius is 1 m, find the volume of the steel used in making the tank.
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