Answer:
[tex]36086.95 cm^3[/tex]
Step-by-step explanation:
Since the larger balloon is similar to the smaller balloon, we must assume that it is also spherical.
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
where r = radius of the sphere
The radius of the balloon is 20.5 cm, hence, its volume is:
[tex]V = \frac{4}{3}* \pi *20.5^3\\\\\\V = 36086.95 cm^3[/tex]
The volume of the larger balloon is [tex]36086.95 cm^3[/tex]
