Answer:
the diameter of the third ball is 2.5 cm
Step-by-step explanation:
The computation of the diameter of the third ball is as follows:
As we know that
The Volume of a sphere is
= [tex]\frac{4}{3} \pi r^3\\\\\frac{4}{3} \pi (3)^3= \frac{4}{3} \pi (1.5)^3 + \frac{4}{3} \pi (2)^3 + \frac{4}{3} \pi (r)^3[/tex]
(3)^3 = (1.5)^3 + (2)^3 + (r)^3
r^3 = 15.625
r = 2.5 cm
hence, the diameter of the third ball is 2.5 cm
We simply applied the above formula so that the correct value could come
And, the same is to be considered
