A gulab jamun contain sugar syrup up to about 30%of its volume.(a) find approximatly how much syrub would be founf in 45 gulab jamun each shaped like a cylinder with two hemisphere end with lenght 5cm and diameter 2.8.(b) witb mathamatical concept is used in the above problem.
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Tolal h = 5cm
therefore h of cylinder = 5-2.8=2.2
volume of gulab jamun= volume of cylinder + volume of 2 hemispheres.
volume= 3pi r. r .h + 4/3 . pi .r.r.r
=22/7x1.4x1.4(3x2.2+4x1.4)/3
=6.16(12.2)/3
=75.152/3
=25.05 cm cube.
jamuns = 45
therefore 45 gulab jamuns volume= 45x25.05=1127.28
30% syrup.
therefore volume=1127.28x30/100=338.184cm cube.
therefore h of cylinder = 5-2.8=2.2
volume of gulab jamun= volume of cylinder + volume of 2 hemispheres.
volume= 3pi r. r .h + 4/3 . pi .r.r.r
=22/7x1.4x1.4(3x2.2+4x1.4)/3
=6.16(12.2)/3
=75.152/3
=25.05 cm cube.
jamuns = 45
therefore 45 gulab jamuns volume= 45x25.05=1127.28
30% syrup.
therefore volume=1127.28x30/100=338.184cm cube.
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