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.

Explanation

Here, volume of sphere will be equal to volume of cylinder.

`:. 4/3pir^3 = piR^2h`

`=>4/3r^3 = R^2h`

`=>h = (4r^3)/(3R^2)`

Here, `r = 4.2cm, R = 6cm`

`:. h = (4**4.2**4.2**4.2)/(3**6**6)`

`=> h = 4**1.4**0.7**0.7 = 5.6**0.49 = 2.744cm`

So, height of the cylinder will be `2.744cm`.