How many spherical solid marbles, each having a radius of 0.3 cm. can be made from a solid sphere having a radius of 6 cm?

Correct option is C

Given:
Radius of the solid sphere: 6 cm
Radius of each marble: 0.3 cm
Formula Used:
Volume of a sphere = $$\frac{4}{3} \pi r^3$$​​
Number of marbles = $$\frac{\text{Volume of the solid sphere}}{\text{Volume of one marble}}$$​​
Solution:
Volume of the solid sphere:
​$$V_1 = \frac{4}{3} \pi (6)^3\\V_1 = \frac{4}{3} \pi 216\\V_1 = 288\pi\\$$​​
Volume of one marble:
​$$V_2 = \frac{4}{3} \pi (0.3)^3\\V_2 = \frac{4}{3} \pi 0.027\\V_2 = 0.036\pi\\$$​​
​$$\text{Number of marbles} = \frac{V_1}{V_2}\\\text{Number of marbles} = \frac{288\pi}{0.036\pi}\\\text{Number of marbles} = 8000\\$$​​
Therefore, 8000 marbles can be made.