Question

matallic spheres of radius 6 cm,8cm and 10cm, respectively are melted to form a single solid sphere .find the radius of the resulting sphere.

Answer 1

radius of spheres= 6cm, 8cm, 10cm
they are combined to form a sphere,
volume of three spheres=volume of resulting sphere
4/3$\pi$ [r1³+r2³+r3³]= 4/3$\pi$ r³
4/3 $\pi$ [ 6³+ 8³ +10³]= 4/3 $\pi$ r³
r³= 216+512+1000
r³= 1728
r=∛1728
r= 12 cm

Answer 2

HI Friend 
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Let the radius of sphere 1 ,2 , 3 as 6 cm , 8cm, 10 cm respectively.
Volume of large sphere     =  volume of (1+2+3)
 Volume of large sphere    =  $\frac{4}{3} \pi ( r_{1} + r_{2}+ r_{3} )$
                                          = $\frac{4}{3} \pi (6³+8³+10³)$
                                          =$\frac{4}{3} \pi (1728)$
                                          =$\frac{4}{3} \pi X1728$
                                        
ATQ 
  $\frac{4}{3} \pi X r^{3} = \frac{4}{3} \pi X1728$
r³=1728
r = 12 cm
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