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

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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).

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Length of cylindrical Gulab jamun,

l = 5 – (1.4 + 1.4) = 2.2 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 .

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