Question

a metallic sphere of radius 9 cm is melted and recast into the shape of a cylinder of radius 6cm. find the height of the cylinder.​

Answer 1

Answer:Given, radius of sphere,r=9cm

And radius of cylinder,r' = 6cm

Now let the height of the cylinder be h.

So,

Volume of sphere= volume of cylinder

Step-by-step explanation:

Answer 2

Answer:

27cm

Step-by-step explanation:

radius of the sphere = 9cm

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

=>$\frac{4}{3} * \pi *9*9*9$

volume of the cylinder = $\pi r^{2} h$

=>$\pi *6*6*h$

volume of sphere = volume of cylinder

$\frac{4}{3} * \pi *9*9*9$ = $\pi *6*6*h$

$4*3*9*9 = 6*6*h$

$h = \frac{4*3*9*9}{6*6}$

h = 27 cm