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An empty cylindrical container of radius 7cmand height 10cm is covered by a conical cap of radius 10.5 cm and height 9 cm . Calculate volume of air trapped inside.

Asked by lovemaan5500 14th October 2017, 5:01 PM
Answered by Expert
Answer:
begin mathsize 16px style Volume space of space cone space equals space 1 third πr squared straight h
equals 1 third cross times 22 over 7 cross times 10.5 cross times 10.5 cross times 9
equals 1039.5 space cm cubed
Using space similarity
fraction numerator Height space of space upper space cone over denominator height space of space bigger space cone end fraction equals fraction numerator radius space of space upper space cone over denominator radius space of space bigger space cone end fraction
straight h over 9 equals fraction numerator 7 over denominator 10.5 end fraction
straight h space equals 6 space cm
Area space of space cylinder space equals space πr squared straight h
equals 22 over 7 cross times 7 cross times 7 cross times 3
equals space 462 space cm cubed
Capacity space of space air space inside space the space solid space is space 1039.5 space minus space 462 space equals space 577.5 space cm cubed end style
Answered by Expert 19th December 2017, 5:35 PM
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