Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. find the height of the cylinder.

Answer 1

Answer:

Step-by-step explanation:

Given :-

• Radius of sphere, r₁ = 4.2 cm
• Radius of cylinder, r₂ = 6 cm

To Find :-

• Height of cylinder, h = ??

Formula to be used :-

• Volume of sphere = 4/3πr³
• Volume of cylinder = πr²h

Solution :-

By comparing both,

Volume of sphere = Volume of cylinder

4/3πr₁³ = πr₂²h

⇒ 4/3r₁³ = r₂²h

⇒ 4/3 × 4.2 × 4.2 × 4.2 = 6 × 6 × h

⇒ h = 4 × 4.2 × 4.2 × 4.2/6 × 6 × 3

⇒ h = 296.352/108

⇒ h = 2.744 cm

Hence, the height of cylinder is 2.74 cm.

Answer 2

Answer:

This is your required answer.