Question

1
10. A metallic cylinder of diameter 5 cm. and height 3 cm. is melted and cast into a sphere.
What is its diameter.
3​

Answer 1

Answer:

Given diameter of metallic cylinder=5 cm

So radius of cylinder=2.5 cm

And its height =3

3

1

=

3

10

cm

Then volume of cylinder = πr

2

h=π×(2.5)

2

×

3

10

cm

3

Let radius of sphere is r

Then volume of sphere =

3

4

πr

3

Then volume of cylinder =volume of sphere

∴

3

4

πr

3

=π×2.5×2.5×

3

10

⇒r

3

=

4

2.5×2.5×10

=

4

62.5

=15.625

⇒r=2.5cm