Question 130
A metallic sphere of radius 6 cm is melted down and re casted into three metallic spheres of equal radii. Find the radius of the spheres formed.
Solution
Volume of the initial sphere = $$\frac{4}{3}*\pi *r^3$$ = $$\frac{4}{3}*\pi *6^3$$
Volume of each of the smaller spheres = $$\frac{4}{3}*\pi *r^3$$
==> 3*$$\frac{4}{3}*\pi *r^3$$ = $$\frac{4}{3}*\pi *6^3$$ ==> $$r^3 = 6^3/3$$ ==> $$r^3 = 72$$ ==> $$r = 2*\sqrt[3]{9}$$
So the correct option to choose is E.
Get AI Help?
Video Solution
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
- Download Maths Shortcuts PDF
- Get 300+ previous papers with solutions PDF
- 500+ Online Tests for Free
