Answer:
8 times
Step-by-step explanation:
I found the volume of the sphere. Then increased it how many times he blew. That was the ratio.
Also, Khan :)
The ratio of the current volume of the balloon to the original volume of the balloon is 8.
The volume of a sphere is given by (4\3)πr³ where r is the radius of the sphere.
The initial volume of the balloon = [tex]\frac{4}{3} \pi 2^{3}[/tex]
The initial volume of the balloon =[tex]\frac{32}{3} \pi[/tex]
Radius of the balloon after first breath = 2+1 =3cm
The Radius of the balloon after the second breath = 2+2=4cm
So, the new volume of the balloon = [tex]\frac{4}{3} \pi 4^{3}[/tex]
The new volume of the balloon = [tex]\frac{256}{3} \pi[/tex]
The ratio of new volume to the initial volume = [tex]\frac{\frac{256}{3 } \pi }{\frac{32}{3}\pi }[/tex]
The ratio of new volume to the initial volume =8
Hence, the ratio of the current volume of the balloon to the original volume of the balloon is 8.
To get more about sphere visit:
https://brainly.com/question/10171109
