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