A gulab jamun, contains sugar syrup up to about 30% of its volume. Find the approximately how much syrup would be found in 45 gulab jamuns each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm .
Total h=5cm
length of the cylinder h=5−2.8=2.2
volume of gulab jamun=volume of cylinder+volume of 2
hemispheres.
volume=3πr2h+43πr3
=227×1.4×1.4(3×2.2+4×1.4)3
=6.16(12.2)3
=75.1523=25.05cm cube.
jamuns=45
Hence there are 45 gulab jamuns
volume=45×25.05=1127.2830 percentage of syrup.
volume =1127.28×30100=338.184cmcube.