A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup should be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with a length of 5 cm and diameter of 2.8 cm .
Answers
Solution :-
- Given parameters:
=> Each gulab jamun is given the form of a cylinder with two hemispherical ends.
=> Diameter of the cylinder = 2.8 cm
=> Radius of the cylinder = Diameter of cylinder/2
=> Diameter of the hemisphere = 2.8 cm
=> Radius of the hemisphere = Diameter of hemisphere/2
=> Radius of the hemisphere (r) = 2.8 /2
=> r = 1.4 cm
=> Height of the cylinder + 2 × Radius of the hemisphere = 5 cm
=> Height of the cylinder = 5 – (2 × Radius of the hemisphere)
=> Height of the cylinder = 5 – (2 × 1.4)
=> Height of the cylinder (h) = 2.2 cm
=> Volume of Cylinder = πr²h
=> Volume of cylinder = (22/7) × (1.4)² × 2.2
=> Volume of cylinder = 13.552 cm³
=> Volume of hemisphere = (2/3) πr³
=> Volume of hemisphere = (2/3) × (22/7) × (1.4)³
=> Volume of hemisphere = 0.667 × 3.143 × 2.744
=> Volume of hemisphere = 5.75 cm³
Now,
=> Volume of two hemisphere = 2 × 5.75 cm³
=> Volume of two hemisphere = 11.5 cm³
Let us calculate the volume of the gulab jamun ,
=> Volume of gulab jamun = Volume of the cylinder + Volume of two hemisphere
=> Volume of gulab jamun = 13.552 cm³ + 11.5 cm³
=> Volume of gulab jamun = 25.052 cm³
=> The volume of one gulab jamun is 25.052 cm³
=> ∴ The volume of 45 gulab jamun = 25.052 cm³ × 45
=> The volume of 45 gulab jamun = 1127.34 cm³
=> In gulab jamun quantity of sugar syrup = 30% = 30/100 = 0.3
=> The quantity of sugar syrup in 45 gulab jamun = 0.3 × volume of one gulab jamun × 45
=> The quantity of sugar syrup in 45 gulab jamun = 0.3 × 25.052 × 45
.°. The quantity of sugar syrup in 45 gulab jamun = 338.25 cm³.
Answer:
ok
Step-by-step explanation:
copy the upper one it is perfect