Question

The volume of a spherical balloon with radius 4.1 cm is about 289 cm cubed. Estimate the volume of a similar balloon with radius 20.5 cm. The larger balloon has a volume of about nothing 20.5cm cubed.

Answer 1

Answer:

$36086.95 cm^3$

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:

$V = \frac{4}{3}\pi r^3$

where r = radius of the sphere

The radius of the balloon is 20.5 cm, hence, its volume is:

$V = \frac{4}{3}* \pi *20.5^3\\\\\\V = 36086.95 cm^3$

The volume of the larger balloon is  $36086.95 cm^3$