wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Three solid metallic spheres of radii 3 cm, 4 cm and 5 cm, respectively, are melted to form a single solid sphere. Find the diameter of the resulting sphere.

Open in App
Solution

Let the radius of the new sphere formed be r.
The volume of this new sphere will be equal to the sum of the volumes of the smaller spheres that were melted.
Therefore,

43πr3=43π33+43π43+43π5343πr3=43π33+43+53Or,r3=216r=2163=6 cmd=2×6 cm=12 cm

The diameter of the resulting sphere is 12 cm.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Shape Conversion of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon