A wooden toy was made by scooping out a hemisphere of same radius from each
end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius
3.5 cm, find the volume of wood in the toy. Use pie=22/7
 

Asked by shailesh.solanki | 18th Mar, 2018, 07:34: PM

Expert Answer:

begin mathsize 16px style Here comma
radius space of space straight a space cylinder space equals space radius space of space straight a space hemispher space equals 3.5 space cm space equals space 7 over 2
height space of space straight a space cylinder space equals space 10 cm space

Here comma
Volume space of space the space toy space equals left parenthesis space space 2 space cross times space Volume space of space straight a space Hemispere space right parenthesis space plus space Volume space of space straight a space Cylinder
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 left parenthesis 2 space cross times 2 over 3 πr cubed right parenthesis space plus space πr squared straight h space equals πr to the power of 2 space end exponent left parenthesis 4 over 3 straight r space plus space straight h space right parenthesis space equals 22 over 7 space cross times space 7 over 2 space cross times space space 7 over 2 left parenthesis space 4 over 3 cross times space 7 over 2 space plus space 10 space right parenthesis
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 77 over 2 space cross times 44 over 3 space equals space 564.67 space cm cubed

Therefore space Volume space of space the space wood space in space the space toy space is space 564.67 space cm cubed end style

Answered by Yasmeen Khan | 19th Mar, 2018, 11:55: AM

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