Question

A metallic sphere of radius is 8.4 is melted and recast in the shape of a cylinder of radius 4cm.show that the height of the cylinder is 49.4cm​

Answer 1

HENCE IT IS PROVED THAT HIEGHT OF CYLINDER IS 49.4 CM

Answer 2

The height of the cylinder is 49.4 cm.

Its proved

Step-by-step explanation:

Given that,

Radius of metallic sphere = 8.4 cm

Radius of cylinder = 4 cm

We need to calculate the height of the cylinder

Using formula of volume of sphere and cylinder

$V_{cyl}=V_{sph}$

$\pi\times r^2\times h=\dfrac{4}{3}\times\pi\times r^3$

Put the value into the formula

$4^2\times h=\dfrac{4}{3}\times8.4\times8.4\times8.4$

$h=\dfrac{4}{3\times16}\times8.4\times8.4\times8.4$

$h=49.4\ cm$

Hence, The height of the cylinder is 49.4 cm.

Learn more :

Topic : height of cylinder

https://brainly.in/question/15193308