Question

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

Answer 1

Answer:

$h=2.744cm$

Step-by-step explanation:

Radius of Sphere = 4.2cm

Radius of cylinder = 6cm

Let height of the cylinder be 'h' cm

Therefore Volume of Cylinder $=$ Volume of Sphere

Formula used:

Volume of Cylinder = π$1^2rh$

Volume of Sphere =$\frac{4}{3}r^3$π

⇒$6*6*6*h=\frac{4}{3}*4.2*4.2*4.2$

⇒$h=\frac{4}{3}*\frac{42}{10}*\frac{42}{10}*\frac{42}{10}*\frac{1}{36}$

⇒$h=2.744cm$

Therefore the height of the cylinder is $h=2.744cm$.