Question

the radius of a sphere is 2.1 cm. It is recasted into a cylinder having diameter same as the sphere. Find the height of the cylinder.​

Answer 1

Answer:

Given that;

diameter of sphere = diameter of cylinder

Therefore,

radius of sphere = radius of cylinder = 2.1 cm

ATQ,

Volume of sphere = Volume of cylinder

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

Now, refer to the picture

Therefore, height of the cylinder is 2.8 cm

Answer 2

Answer:

volume of the sphere =volume of cylinder

πr∧2h=4/3πr∧3

cancel the equal pie from each

it is given that the diameter of cylinder is same as the sphere

therefore radius of cyclinder =radius of sphere

r∧2h=4/3r∧3

radius is cancelled from both the side

h=4/3r

r=2.1

h=2.8

here is the  required height