6. CBQ - Volume of a sphere

Question:

4 m.

Rishi's brother was playing with a spherical rattle of volume \(30.186 \ cm^{3}\). While playing he accidentlly threw it with such force that the rattle broke apart. Inside the rattle, there were several tiny spherical balls, each with a volume of \(5.031 \ cm^{3}\). Curious about the toy's design, Rishi began calculating the following. (Note: Use \(\pi = \frac{22}{7}\))

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

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

2. What the radius of the rattle?

2.295
1.431
1.031
1.931

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

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

4. How many tiny balls were inside the rattle?

5
6
3
11

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