Question

How many balls each of radius 3 cm can be made from a lead sphere of radius 12cm?

Answer 1

Answer:

16 balls

Step-by-step explanation:

ball having 3 cm radius it's area- pie.3²

sphere having 12 cm radius it's area -pie.12²

num.of balls pie.144/pie9 16

Answer 2

Step-by-step explanation:

Given, radius of the lead sphere = 12 cm

Therefore, volume of the lead sphere =

$\frac{4}{3} \pi \times {12}^{3 } {cm}^{3}$

Suppose, p balls each of radius 3 cm can be made.

Therefore, total volume of those p balls =

$p \times \frac{4}{3} \pi \times {3}^{3} {cm}^{3}$

According to the question,

$\frac{4}{3} \pi \times {12}^{3} = p \times \frac{4}{3} \pi \times {3}^{3} \\ or \: p = 64$

Therefore, 64 balls each of radius 3 cm can be made from a lead sphere of radius 12 cm.