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Asked by venna.v14 | 25th Apr, 2020, 08:08: PM

Expert Answer:

Q: 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 the water, when it is inverted upside down, common diameter is 7 cm and height of the cylinder is 20 cm.
Solution:-

Height of the water when flat circular surface is downward (h)=10 cm

Diameter (d)=7 cm

Height of the cylinder (h)=20 cm

V o l u m e space o f space w a t e r equals πr squared straight h equals 22 over 7 cross times 7 over 2 cross times 7 over 2 cross times 10 equals 385 space cm squared space... space left parenthesis straight i right parenthesis
When space the space solid space is space inverted space down comma space hemisphere space will space be space down space and space water space is space inverted space down
Let space straight h space be space the space height
Volume space of space water space equals space Volume space of space cylinder space minus space volume space of space hemisphere
equals πr squared straight h minus 2 over 3 πr cubed
rightwards double arrow 385 equals 22 over 7 cross times 7 over 2 cross times 7 over 2 straight h minus 2 over 3 cross times 22 over 7 cross times 7 over 2 cross times 7 over 2 cross times 7 over 2
rightwards double arrow 385 equals 77 over 2 open parentheses straight h minus 7 over 3 close parentheses
rightwards double arrow straight h equals 37 over 3 space cm

Answered by Renu Varma | 25th Apr, 2020, 09:29: PM