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प्रश्न
A hollow cylinder has solid hemisphere inward at one end and on the other end it is closed with a flat circular plate. The height of water is 10 cm when flat circular surface is downward. Find the level of water, when it is inverted upside down, common diameter is 7 cm and height of the
cylinder is 20 cm.
बेरीज
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उत्तर
Let the height of the water level be 'h', after the solid is turned upside down.
Volume of water in the cylinder
= `pi(7/2)^2 10`
Volume of the hemisphere
= `2/3pi(7/2)^3 `
Volume of water in the cylinder
= Volume of water level − Volume of the hemisphere
`pi(7/2)^2 10 = pi(7/2)^2h - 2/3pi(7/2)^2`
`=> 10 = h - 7/3`
`=> h = 10 + 7/3`
`=> h = 12 1/3 cm`
The height of water when the hemisphere is facing downwards is `12 1/3 cm`
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