Q. 34.6( 19 Votes )
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
Answer :
Given,
The radius (r1) of 1st sphere = 6 cm
Radius of 2nd sphere (r2) = 8 cm and
Radius f third sphere (r3) = 10 cm
Let the radius of the resulting sphere be R;
So now we have,
Volume of resulting sphere = Volume of three metallic spheres
⇒ 
πR3 = 
⇒
πR3 = 
⇒ R3 = 216 + 512 + 1000
⇒ R3 = 1728
⇒R = 
R = 12 cm
So, the radius of the resulting sphere is 12cm.
Rate this question :
The largest cone is curved out from one face of solid cube of side 21 cm. Find the volume of the remaining solid.
RD Sharma - MathematicsThe largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left. 
An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. 
