Question

​​​​​​​​♤ Moderators

⭐ Branily star

❤️ other best user

Question <<<

please answer this question urgently fast answer

no spam

no spam

no spam​​​​​​​​

Answer 1

$\: \: \huge\fbox\pink{ᴀɴsᴡᴇʀ}$

➭ Given:-

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.

➭ To find:-

height of the cylinder.

➭ Solution:-

Radius (r) of hemisphere = 4.2 cm

Radius (r₂) of cylinder = 6 cm

Height (h) = ?

The object fromed by recasting the hemisphere will be same in volume.

So,

Volume of sphere = Volume of cylinder

$\frac{4}{3} \pi \: r \frac{3}{1} = \pi \: r \: \frac{2}{2} h$

$\frac{4}{3} \pi \times ( {4.2)}^{3} = \pi( {6)}^{2} h$

$\frac{4}{3} \times \frac{4.2 \times 4.2 \times 42}{36} \: h$

$h = ( {1.4)}^{3} = 2.74cm$

Therefore, the height of cylinder so formed will be 2.74 cm.

hope it was helpful to you