The volume of a spherical balloon with radius 2.4 cm is about 58 cm. Estimate the volume of a similar balloon with radius 9.6 cm. the larger balloon has a volume of about __cm^3.

36086.95cm^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 = 4/3 pie Radius ^3

where r = radius of the sphere

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

v = 4/3 x 3.14 x 20.5^3

V= 36086.95cm^3

The volume of the larger balloon is 36086.95cm^3

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

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