Question

A gulab jamun contains sugar syrup upto about 50% 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 is 2.8 cm.​

Answer 1

step-by-step explaination:-

Each gulab jamun is given the form of a cylinder with two hemispherical ends.

Diameter of cylinder = 2.8 cm

Radius of cylinder = Diameter of cylinder/2

Diameter of 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 cylinder = 5 – (2 ✕ 1.4)

→ height of 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 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 is = 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 is= 338.25 cm³

Answer 2

Answer:

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Each gulab jamun is given the form of a cylinder with two hemispherical ends. The quantity of sugar syrup in 45 gulab jamun = 338.25 cm3.