Answer:
(b) Radius of the sphere = 5 units.
Step-by-step explanation:
Here, given:
The volume of the sphere = [tex](\frac{500}{3})\pi[/tex] cubic units ... (1)
Also, radius of the sphere = x units
Now, VOLUME OF SPHERE = [tex](\frac{4}{3}) \pi r^3[/tex]
So, volume of a sphere with radius x = [tex](\frac{4}{3}) \pi (x)^3[/tex]
But volume of sphere is given by (1).
[tex]\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3}) \times (\frac{3}{4}) = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x = 5[/tex]
Hence, radius of the sphere = 5 units.
