A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon until it had a diameter of 36 centimeters. Approximately what volume of additional helium was added to the balloon? 904 cm³ 7235 cm³ 17,194 cm³ 24,429 cm³

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17-04-2018
Mathematics

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A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon until it had a diameter of 36 centimeters. Approximately what volume of additional helium was added to the balloon? 904 cm³ 7235 cm³ 17,194 cm³ 24,429 cm³

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briannahaughian briannahaughian · Answer 1 · 2018-04-17T19:01:47+02:00

The answer I got was 17191, so I might have name a mistake, but this is how I done it.
The equation for the volume of a sphere is
[tex] \frac{4}{3} \pi {r}^{3} [/tex]
The first balloon has a radius of 12 and when you use the equation the volume equals 7238.23cm³, and the second balloon has a radius of 18 and when you use the equation the volume equals 24429.02cm³. Subtract the smaller balloon from the larger balloon (24429.02 - 7238.23) and it equals 17190.79cm³ and when rounded gives you 17191cm³.