Question

the radius of a copper sphere is 21 cm. the sphere is melted into a cuboid of length and breadth as 42 cm each. find its height​

Answer 1

Step-by-step explanation:

Answer

Given the radius of the sphere (r)=21 cm.

Now the volume of the sphere is =

3

4

πr

3

=88×21×21 cm

3

.

Since the solid cuboid is formed by melting the sphere.

Then the volume of the cuboid = volume of the sphere.

Also given the length and breadth of the cuboid be 77 cm and 36 cm respectively.

Let the height of the cuboid is h cm.

Then the volume of the cuboid be 77×36×h cm

3

.

Then

88×21×21=77×36×h

or, h=14.

So the height of the cuboid be 14 cm.

Answer 2

Correct answer:-

Refer to the attachment.

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