A gulab jamun, contains sugar syrup up to about 30/ of its volume. Find approximately how much syrup would be found in 45 gulab jaman,each shared like a cylinder with two hemispherical ends with length 5cm and diameter 2.8 cm (see figure).
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the total height of a gulab jamun = 5 cm.
Diameter = 2.8 cm
So, radius = 1.4 cm
∴ The height of the cylindrical part = 5 cm–(1.4+1.4) cm
=2.2 cm
Now, total volume of One Gulab Jamun = Volume of Cylinder + Volume of two hemispheres
= πr2h+(4/3)πr3
= 4.312π+(10.976/3) π
= 25.05 cm3
the volume of sugar syrup = 30% of total volume
So, volume of sugar syrup in 45 gulab jamuns = 45×30%(25.05 cm3)
= 45×7.515 = 338.184 cm3
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