An empty cylindrical vessel of radius 7 cm and height 10cm is covered by a conical cap of radius 10.5cm and height 9 cm .

Calculate the volume of air trapped inside 

Asked by lovemaan5500 | 11th Jan, 2018, 01:59: PM

Expert Answer:

begin mathsize 16px style Volume space of space air space trapped equals Volume space of space cylinder plus Volume space of space cone
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight pi left parenthesis 7 right parenthesis squared cross times 10 plus 1 third straight pi left parenthesis 10.5 right parenthesis squared cross times 9
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 left square bracket 4900 plus 330.75 right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 22 over 7 cross times 5230.75
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 16439.5 space cm cubed
end style

Answered by Rashmi Khot | 12th Jan, 2018, 10:10: AM