Question

Find the number of lead balls, each 1 cm in diameter that can be a sphere of diameter 12 cm.

Answer 1

before and after volume will remain same
let no. of balls be n
n(4/3π(1*1*1/8))=4/3*π*6*6*6
n/8=6*6*6
n=6*6*6*8 balls

Answer 2

Answer:

1728

Step-by-step explanation:

Diameter of lead ball = 1 cm

Radius = $\frac{Diameter}{2}=\frac{1}{2}=0.5 cm$

So, volume of lead ball = $\frac{4}{3} \pi r^3$

                                      = $\frac{4}{3} \pi (0.5)^3$

                                      = $0.523598775598$

Diameter of sphere = 12 cm

Radius = $\frac{Diameter}{2}=\frac{12}{2}=6 cm$

So, volume of Sphere = $\frac{4}{3} \pi r^3$

                                      = $\frac{4}{3} \pi (6)^3$

                                      = $904.778684234$

Thus the number of balls can be made :

=$\frac{\text{Volume of sphere}}{\text{Volume of lead ball}}$

=$\frac{904.778684234}{0.523598775598}$

=$1728$

Hence 1728 lead balls can be made .