A gulabjamun contains sugar syrup up to about30% of its volume. Find approximately how much syrup would be found in 45 gulabjamun each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (see Fig. 13.15)


Radius (r) of cylindrical part =

Radius (r) of hemispherical part =


= 1.4 cm


Length of each hemispherical part = 1.4 cm


Radius of hemispherical part = 1.4 cm


Length (h) of cylindrical part = 5 - 2 × Length of hemispherical part


= 5 - 2 × 1.4


= 2.2 cm


Volume of one gulabjamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part


= πr2h + 2 * πr3


= πr2h + r3


= π * (1.4)2 * 2.2 + (1.4)3


= 13.552 + 11.498


= 25.05 cm3


Volume of 45 gulabjamun = 45 * 25.05


= 1,127.25 cm3


Volume of sugar syrup = 30% of volume


= * 1127.25


= 338.17 cm3


= 338 cm3


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