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The inner diameter ofa cylindrical conta...

The inner diameter ofa cylindrical container is 7 cm and its top is of the shape of a hemisphere, as shown in the figure. If the height of the container is 16 cm, find the actual capacity of the container.

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Height of cylinder= `16-7/2=25/2cm` Radius=`7/2cm` Capacity of container = `pir^2h+ 2/3pir^3`
= `pir^2(h+2r/3)=22/7*(7/2)^2*(25/2+2/3*(7/2))cm^3` = `6853/12= 571.08cm^3`
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