One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 cent…

Question

asked Feb 18, 2022 92.5k views

2 Answers

Jeff Clayton · Answer 1 · 2022-02-22T23:11:49+0000

Answer:

R = 10 cm

Explanation:

The area of a spherical shape is given by :

$A=4\pi r^2$

Where

r is the radius of the sphere

ATQ,

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.

The radius of each small bubble is 5 cm

Using the given condition,

$4\pi R^2=4* (4\pi r^2)\\\\R^2=4r^2\\\\R=√(4r^2) \\\\R=2r\\\\R=2* 5\\\\R=10\ cm$

So, the radius of the large bubble is equal to 10 cm.