Question

A metallic cylinder has diameter 5cm and height 3 1/3 cm is melted and cast into a sphere what is its diameter

Answer 1

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Answer 2

Solution :-

Diameter of the metallic cylinder = 5 cm 

Radius = 5/2 = 2.5 cm

Height of the metallic cylinder = 3 1/3 cm = 10/3 cm

Volume of the metallic cylinder = πr²h

⇒ 22/7*2.5*2.5*10/3

⇒ 1375/21

Volume of the metallic cylinder = 65.476 cu cm

The metallic cylinder is melted and cast into a sphere. So, the volume of the metallic cylinder and the sphere will exactly same.

Volume of sphere = 4/3πr³

⇒ 65.476 = 4/3*22/7*r³

⇒ 88r³ = 65.476*21

⇒ 88r³ = 1374.996 or 1375 (Approx)

⇒ r³ = 1375/88

⇒ r³ = 15.625

⇒ r = ∛15.625

⇒ r = 2.5 

Hence, the radius of the sphere is 2.5 cm.

Then, diameter of the sphere = 2.5*2

= 5 cm

Answer.