Question

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

Answer 1

hope this answer is helpful plz mark it as brainliest if u think I can help u just follow me

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Information :-

Radius of sphere

r₁ = 4.2 cm

Radius of cylinder,

r₂ = 6 cm

Now,

Volume of sphere = Volume of cylinder

4/3πr₁³ = πr₂²h

⇒ 4/3r₁³ = r₂²h

Putting all the values, we get :-

⇒ 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

Therefore,

Height of cylinder = 2.74 cm