Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.​

Answer 1

Answer:

Given:

Radius (r

1

) of hemisphere =4.2 cm

Radius (r

2

) of cylinder =6 cm

Height (h) = ?

The object fromed by recasting the hemisphere will be same in volume.

So, Volume of sphere = Volume of cylinder

3

4

πr

1

3

=πr

2

2

h

⟹

3

4

π×(4.2)

3

=π(6)

2

h

⟹

3

4

×

36

4.2×4.2×4.2

=h

h=(1.4)

3

=2.74 cm

Therefore, the height of cylinder so formed will be 2.74 cm.