Question

A metal sphere of radius is 2 cm is melted to form the hemisphere of radius 1cm each the number of hemisphere so formed is​

Answer 1

Answer:

16 cm

I hope it is helpful to you

Answer 2

8 spheres will be formed.

Given,

A metal sphere of radius is 2 cm is melted to form the hemisphere of a radius of 1 cm each.

To Find,

The number of hemispheres formed is​ =?

Solution,

We can solve the question as follows:

It is given that a metal sphere of radius is 2 cm is melted to form the hemisphere of a radius of 1 cm each. We have to find the number of hemispheres formed.

First, we will find the volume of both the spheres.

The formula for finding the volume of a sphere is given as:

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

Where, $r = radius$

For the first sphere,

$Volume\: of\: the\: first\: sphere = \frac{4}{3} \pi (2)^{3}$

                                           $= \frac{4}{3} \pi (8)$

                                          $= \frac{32}{3} \pi\: cm^{3}$

For the second sphere,

$Volume\: of\: the\: second\: sphere = \frac{4}{3} \pi (1)^{3}$

                                              $= \frac{4}{3} \pi\: cm^{3}$

Now, the number of small spheres formed will be equal to the volume of the first sphere divided by the volume of the second sphere.

$Number\: of\: spheres\: formed = \frac{Volume\: of\: first\: sphere}{Volume\: of\: second\: sphere}$

                                            $= \frac{ \frac{32}{3} \pi}{\frac{4}{3} \pi}$

                                            $= \frac{32}{4} = 8$

Hence, 8 spheres will be formed.