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.

# 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.

1. A
238.176 cm3
2. B
438.176 cm3
3. C
338.176 cm3
4. D
838.176 cm3

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### Solution:

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