8. CBQ - Volume of a sphere

Question:

4 m.

Sumit's brother was playing with a spherical rattle of volume \(37.02 \ cm^{3}\). While playing he aaccidentlly threw it with such force that the rattle broke apart. Inside the rattle, there were several tiny spherical balls, each with a volume of \(4.64 \ cm^{3}\). Curious about the toy's design, Sumit began calculating the following. (Note: Use \(\pi = \frac{22}{7}\))

1. The volume of the spherical rattle is given by.

\(\frac{4}{3} \pi r^{3}\)
\(\frac{2}{3} \pi r^{3}\)
\(\frac{1}{3} \pi r^{3}\)
\(\frac{4}{3} \pi r^{2}\)

2. What the radius of the rattle \( in \ cm \) ?

2.067
2.548
1.274
8.834

3. Is it possible to find the number of tiny balls in the rattle? If yes, what is the formula to find it?

\(\frac{\text{Volume of Spherical rattle}}{\text{Volume of a tiny ball}}\)
\(\frac{\text{Volume of a tiny ball}}{\text{Volume of Spherical rattle}}\)
\(\text{Volume of a tiny ball} \times \text{radius}\)
\(\frac{\text{Volume of Spherical rattle}}{\text{radius}}\)

4. How many tiny balls were inside the rattle?

12
6
8
10

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