Question

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

Answer 1

Diameter of the cylindrical part of the gulab jamun = 2.8 cm
Radius = 1.4 cm
Volume of the cylindrical part = πr²h
= 22/7 x 1.4 x 1.4
= 6.16 cm³
Volume of the hemispherical part = 2/3 πr³
= 2/3 x 22/7 x 1.4 x 1.4 x 1.4
= 5.75 cm³
volume of both the hemisperical parts = 5.75 x 2 = 11.5 cm³
total volume of each gulab jamun = 6.16 + 11.5 = 17.66 cm³
volume of 45 gulab jamuns = 17.66 x 45 = 794.7 cm³
sugar syrup = 30% of 794.7
= 794.7 x 30/100
∴ 238.41 cm³

Answer 2

I think that your answer is 338.184 cm cube