Question

A Gulab Jamun contains sugar syrup upto 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 figure given aside).

Answer 1

Length of cylindrical Gulab jamun, 

l = 5 – (1.4 + 1.4) = 2.2 cm.

 Radius, r = 1.4 cm. 

∴ Volume of Cylinder (1 Gulab Jamun), = Left hemisphere + Volume of Cylinder + Right hemisphere

∴ Total volume of such 45 Gulab jamun, 

= 45 x \(\frac{22}{3}\) x 0.28 x 12.2

= 22 × 0.28 × 183 = 1127.28 cm³ . 

∴ Gulab Jamun contains sugar syrup upto about 30% of its volume. 

∴ 1127.28 x \(\frac{30}{100}\)

= 338 cm³ .