A Gulab Jamun when Completely ready for eating Contains sugar syrup up to about 30 % of its volume. Find approximately. how much syrup would be found in 45 gulab Jamun shaped like a cylinder with two hemispherical ends, if the complete length of each of the gulab Jamun is 5 cm and its diameter is 2.8 cm.

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238.176 cm3

438.176 cm3

338.176 cm3

838.176 cm3

answer is C.

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Detailed Solution

Diameter of the hemispherical end of Gulab Jamun is 2.8 cm.
Therefore its radius will be

\frac{2.8}{2}

= 1.4 cm
Here, each Gulab jamun is in the shape of a cylinder with 2 hemispherical ends And the total height of the gulab Jamun = 5 cm.
so the height of the cylindrical part of the Gulab jamun = 5.2 × (1.4) = 2.2 cm.
∴ The volume of 1 Gulab Jamun

= 25.05 cm3
Therefore the volume of 45 Gulab Jamun
= 45 × 25.05 cm3
volume of syrup in each Gulab Jamun
= 30 % of its volume
volume of syrup in 45 gulab jamun

Volume = 338.176 cm3

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