A gulab jamun, contains sugar syrup up to 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 Fig. 13.15).
Answers
Answer:
338 centimeter cube or 338 cm³
Step-by-step explanation:
As,
Diameter of Cylinder = 2.8
Therefore, Radius = 1.4
Hence, L=2r + H
5=2×1.4 + H
H = 5 - 2.8 = 2.2 cm
Volume Of Cylinder = πr²h
= 22/7× (1.4)²× 2.2
= 13.55cm³
Volume of hemisphere = 2/3πr³
= 2/3 × 22/7 × (1.4)³
= 5.75
Volume of two hemisphere = 2 × 5.75 = 11.5cm³
Volume of Gulab Jamun = Volume of Cylinder+ Volume of Two Hemispheres.
= 13.55 + 11.50
Volume of Gulab Jamun = 25.05cm³
So Volume of one gulab jamun is 25.05cm³
Therefore,Volume of 45 Gulab Jamun = 45 × 25.05cm³
= 1127.25
It is given 30% of Gulab Jamun Volume is filled with Syrup.
So,
Syrup in 45 Gulab jamuns= 30% of 1127.75
= 338.25 cm³
so syrup filled in 45 gulab jamun in a cylinder is 338.25cm³ Respectively.