Question

À solid sphere radius 12cm is melted and recast into 3
smaller spheres: Two spheres are
of radius 6cm and 8 cm
Find the radius of the third sphere
​

Answer 1

Answer:

10 cm

Step-by-step explanation:

Let radius of the third sphere be r.

Then, 43π×(12)3=43π×(6)3+43π×(8)3+43πr343π×(12)3=43π×(6)3+43π×(8)3+43πr3

=> (12)3=(6)3+(8)3+r3(12)3=(6)3+(8)3+r3

=> r3=1728−216−512r3=1728−216−512

=> r3=1000r3=1000

Therefore, r = 10 cm