Which of the following options is equal to the radius of the new sphere, if three spheres of radii 5cm, 3cm and 4cm are melted into form a new sphere?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 6 cm.
The total volume of the three spheres:
5³ = 125
3³ = 27
4³ = 64
Total = 125 + 27 + 64 = 216
Volume of new sphere = same as total = 216
So, R³ = 216 → R = cube root of 216 = 6 cm