Question 3:
A gulab jamun, contains 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 5 cm and diameter 2.8 cm (see the given figure). [Use π = 22/7]
Answer:
It can be observed that
Radius (r) of cylindrical part = Radius (r) of hemispherical part = 2.8/2 = 1.4 cm
Length of each hemispherical part = 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 gulab jamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part
Volume of 45 gulab jamuns = 45 × 25.05 = 1,127.25 cm3
Volume of sugar syrup = 30% of volume
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