How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

Question:

How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

Solution:

Radius of the sphere = 8 cm

Volume of the sphere $=\frac{4}{3} \pi r^{3}=\frac{4}{3} \times \frac{22}{7} \times 8^{3}=2145.52 \mathrm{~cm}^{3}$

Radius of one lead ball = 1 cm

Volume of one lead ball $=\frac{4}{3} \times \frac{22}{7} \times 1^{3}=4.19 \mathrm{~cm}^{3}$

$\therefore$ Number of lead balls = $\frac{\text { volume of the sphere }}{\text { volume of one lead ball }}=\frac{2145.52}{4.19}=512.05 \approx 512$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now