Question

A gulab jamun, contain sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5cm and diameter 2.8cm.

Answer 1

volume of gulab jamun= volume of cylindrical part + volume of 2 hemispherical ends
                                     = 2

Answer 2

Volume of agulab jamun= volume of the cylinder + volume of the two hemispherical ends
=π$r^{2}$h+2/3π$r^{3}$+2/3π$r^{3}$
=π$r^{2}$(h+4/3r)
r=1.4cm
h=5-2*1.4=2.2cm
therefore volume of of a gulab jamun=
22/7*1.4*1.4(2.2+4/3 * 1.4)
=25.05cu.cm
volume of 45 gulab jamuns = 45* 25.05=1,127.25cu.cm
volume of syrup=30% volume of gulab jamuns
=30/100* 1,127.25=338.17cu.cm
therefore 338.17 cu.cm of syrup is found