Question

A metallic sphere of radius 8.4cm is melted and recast into the shape of a cylinder of radius 12cm. Find the hight of the cylinder.​

Answer 1

Step-by-step explanation:

hope this will help you

Answer 2

The height of cylinder=h=5.5 cm

Step-by-step explanation:

Radius of metallic sphere=r=8.4 cm

Radius of cylinder=r'=12 cm

Volume of cylinder=$\pi r^2 h$

Where r=Radius of cylinder

h=Height of cylinder

Volume of sphere=$\frac{4}{3}\pi r^3$

r=Radius of sphere

Using $\pi=\frac{22}{7}$

According to question

Volume of metallic sphere=Volume of cylinder

$\frac{4}{3}\pi r'^3=\pi r^2 h$

$\frac{4}{3}\times \pi\times (8.4)^3=\pi\times (12)^2 h$

$h=\frac{\frac{4}{3}\pi\times (8.4)^3}{\pi\times (12)^2}$

$h=5.5 cm$

Hence, the height of cylinder=h=5.5 cm

#Learns more:

https://brainly.in/question/15232039:Answered by vishal