Question

Find the volume of a Gulab jamun in the form of a right circular cylinder with hemispheric ends whose total length is 2.7 cm and the diameter of each hemispherical end is 0.7
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Answer 1

Given :-

Total length = 2.7 cm

Diameter = 0.7 cm

To Find :-

Volume

Solution :-

We know that

↣ Radius = Diameter/2

↣ Radius = 0.7/2

↣ Radius = 7/20 cm

Now

↣ Height of Gulab Jamun = 2.7 - (2 × 7/20)

↣ Height of Gulab Jamun = 2.7 - (0.7)

↣ Height of  Gulab Jamun = 2.0 cm

↣ Volume of hemisphere = 2πr³

But, there are two hemisphere

Hence

↣ Volume = 2 × 2/3πr³

↣ Volume = 4/3 πr³

↣ Volume = 4/3 × 22/7 × (7/20)³

↣ Volume = 4/3 × 22/7 × 7/20 × 7/20 × 7/20

↣ Volume = 0.18 cm³

Now

↣ Volume of cylinder = πr²h

↣ Volume = 22/7 × (7/20)² × 2

↣ Volume = 22/7 × 49/400 × 2

↣ Volume = 22 × 7/200

↣ Volume = 0.77 cm

Hence

↣ Total Volume = 0.18 + 0.77 = 0.95 cm³