Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?
Option 1: 6287
Option 2: 6862
Option 3: 4575
Option 4: 5857
Correct Answer: 6862
Solution :
Here, the height of the frustum (
Large base radius (
Small base radius (
So, the volume of the frustum
=
=
=
Now, radius of the sphere =
the volume of one sphere =
Hence, the correct answer is 6862.