# Two spheres of same metal weigh 1kg and 7kg. The radius of the smaller sphere os 3cm. The two spheres are melted to form a single big sphere. Find the diameter of the new sphere. cbse- set3

1
by san2thibloo

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by san2thibloo

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= mass/volumn

=1/volumn of small sphere

=1/36.22/7

=1/36.22/7 =7/x

x=7.36.22/7=36.22

x is the volumn of biger sphere

volumn of both the sphere=one big sphere

36.22/7+36.22

r^3=(36.22/7+36.22).3/4.7/22

r^3=249.136

r=6

d=6=6=12