# A solid metal con

Given: base radius of cone = rc = 12 cm

Height of cone = h = 24 cm

Diameter of spherical ball = 6 cm

Radius of spherical ball = rs = 6/2 = 3 cm

Formula: volume of cone = (1/3)πrc2h

Volume of sphere = (4/3)πrs3

Let n be the number of spherical balls made

As the cone is melted and then the spherical balls are made therefore the volume remains same

i.e. volume of n spherical balls made = volume of cone

n × (4/3) × π × rs3 = (1/3) × π × rc2 × h

n × 4 × 33 = 122 × 24

n × 9 = 12 × 24

n = 32

Number of balls formed = 32

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sphere and Hemisphere16 mins
Right Circular Cylinder45 mins
Right Circular Cone And Frustum43 mins
Cube and Cuboid41 mins
Area Related to Circles- Important Formula and Concepts59 mins
History - Concept and Questions57 mins
Resources and Development Revision28 mins
Heights and Distances-I45 mins
Corrosion: Types, Pros and Cons41 mins
Revision on Substitution and Elimination Method44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses