A Gulab Jamun contains sugar syrup up to about 30% of its volume find approximately how much syrup would be found in 45 Gulab Jamun is shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 CM
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Answers
The amount of syrup in 45 gulab jamuns is 387.6 cm3.
Step-by-step explanation:
According to the question; every gulab jamun is cylindrical in shape with 2 hemispherical ends.
The radius of the hemisphere and cylinder was 1.4 cm.
The height of the cylinder only = 5 cm – 2(1.4 cm)
= 5- 2.8 = 2.2 cm
The volume of the cylindrical gulab jamun is the sum of the volume in the 2 hemispheres and the cylinder
Thus; volume of the gulab jamun =πr^2 h + 2 (2/3 πr^3)
= πr^2 h+4/3 πr^3
= πr^2 (h+4/3 r)
After substituting the values;
= 3.14 ×1.4 ×1.4 (2.8+(4×1.4)/3)
= 28.7 cm3
Thus, the volume of one gulab 28.7 cm3.
The volume of 45 gulab jamuns was 45 × 28.7 = 1292 cm3.
Each gulab jamun contains 30% syrup.
Thus, 45 gulab jamuns contains 30% of their volume as syrup, i.e.,
= 0.3 × 1292
= 387.6 cm3
Hence, 45 gulab jamuns contain 387.6 cm3 of sugar syrup