Question

a right circular cone is 3.6 cm height and radius of its base is 1.6cm. It is melted and recast into a right circular cone . Radius of its base is 1.2cm . Find its height

Answer 1

Answer:

As the cone is melted and recasted in to another cone, volumes of both the cones are equal.

Volume of a cone =

3

1

πr

2

h

Let h be the height of the new cone formed.

Now, V

1

=V

2

⇒

3

1

π×1.6

2

×3.6=

3

1

π×1.2

2

×h

⇒h=6.4cm