cones, each of diameter and height , are melted and recast into a metallic sphere. Find the diameter of the sphere.
Step1 : Find Volume of cones
Diameter of each cone
Height of each cone
Thus the volume of each cone,
Thus, volume of cones
Step 2: Find the diameter of the sphere
As per the given condition, cones are melted to form a sphere. Thus, the volume of cones and sphere made from them will be the same.
Volume of sphere
Therefore, the diameter of the sphere is,