Q. 345.0( 1 Vote )

# A metallic

Let the Radius of cone be ‘r’ and height of cone be ‘h’

r = 21 cm and h = 84 cm

Explanation: Here the volume of cone will be equal to the volume of the resulting sphere as the resulting sphere is formed by melting the cone.

Volume of cone,

V1 = π × 441 × 28

V1 = 12348π m3eqn1

Let the Radius of resulting sphere be ‘R’ cm

Volume of the sphere=

Now equate equation 1 and 2,

V2 = V1

R3 = 3087 × 3

R3 = 9261

R =(9261)

R = 21 cm

Diameter of Sphere = 2 × radius

Diameter of Sphere = 2 × R = 42 m

Diameter of the resulting Sphere is 42 m

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
Cube and Cuboid41 mins
Right Circular Cone And Frustum43 mins
Area Related to Circles- Important Formula and Concepts59 mins
Resources and Development Revision28 mins
History - Concept and Questions57 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