A gulab jamun, contains sugar syrup up to about
20% 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 5 cm and diameter 2.8 cm (see Fig. 15.15).
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Radius of hemisphere =1.4cm
Volume of hemisphere =2×22/7×1.4×1.4×1.4
=5.75cm3
Volume of 2 hemisphere
=2×5.75
=11.50cm3
Height of cylinder =5_2 (1.4)
=5-2.8
=2.2cm
Volume of cylinder =22/7×1.4×1.4×2.2
=13.55cm3
Total volume of gulab jamun
=11.50+13.55
=25.05cm3
Volume of sugar syrup in 1 gulab jamun
=30/100×25.05
=7.51cm3
Volume of sugar syrup in 45 gulab jamun
=45×7.51
=337.95
=338(approx)
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