Answer:
Step-by-step explanation:
Radius of first spherical ball =
2
2
cm=1cm
Radius of second spherical ball =
2
2
3
14.5
cm=
3
14.5
cm
Let the radius of the third ball be r cm.
Radius of the main spherical ball =
2
5
cm=2.5cm
Volume of main spherical ball = Volume of spherical ball 1+Volume of spherical ball 2+ Volume of spherical ball 3
Volume of a sphere =
3
4
πr
3
So,
3
4
π×2.5
3
=
3
4
π1
3
+
3
4
π(
3
14.5
)
3
+
3
4
πr
3
⇒2.5
3
=1
3
+(
3
14.5
)
3
+r
3
⇒r
3
=15.625−1−14.5
⇒r
3
=0.125=0.5×0.5×0.5
⇒r=0.5