Question

A right circular cone is 3.6 cm high and the radius of its base is 1.6 cm. It is melted and recast into a right circular cone having base radius 1.2 cm. 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 = 1/3πr²h  

Let h be the height of the new cone formed.

Now, $V_{1} = V_{1}$

​⇒ 1/3π×1.6²×3.6=  1/3π×1.2² ×h

⇒h=6.4cm

Step-by-step explanation: