top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Two metallic right circular cones having their height 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each...

0 votes
428 views

Two metallic right circular cones having their height 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere.

What would be the diameter of the resultant sphere?

posted Jun 17, 2016 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Let the cones be Cone 1 and Cone 2

Volume of Cone 1 = 1/3 * pi * (2.1)^2 * 4.1 cc
Volume of Cone 2 = 1/3 * pi * (2.1)^2 * 4.3 cc

Total volume of metal after melting both cones = 1/3 * pi * (2.1)^2 * 8.4 cc

Let the Radius of the sphere be - R.
Hence volume of the sphere would be - 4/3 * pi * (R)^3 = 1/3 * pi * (2.1)^2 * 8.4
Solving for R we get -> R ^3 = (2.1)^3
Hence R = 2.1 cm
Therefore the Diameter of the sphere would be 2 * R = 4.2 cm

answer Jul 27, 2016 by Indranil Datta
...