A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?

formula: V =4π(r^3)/3 make sure you use the radius and not the diameter

Question

06-03-2018
Mathematics

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A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?

formula: V =4π(r^3)/3 make sure you use the radius and not the diameter

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Louli Louli · Answer 1 · 2018-03-15T17:32:46+01:00

Answer:
amount of air released = 4184.6 in³

Explanation:
We can get the volume of released air by calculating the difference between the volume of the balloon before and after the air was released. This difference will represent the amount of released air.

Initial volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 24 in
Therefore:
radius = 24/2 = 12 in
volume = [tex] \frac{4}{3} [/tex]π(12)³
initial volume = 2304π in³

Final volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 18 in
Therefore:
radius = 18/2 = 9 in
volume = [tex] \frac{4}{3} [/tex]π(9)³
final volume = 972π in³

Amount of air released:
amount of air released = initial volume - final volume
amount of air released = 2304π - 972π
amount of air released = 1332π = 4184.6 in³

Hope this helps :)

tinyperson tinyperson · Answer 2 · 2021-02-24T19:23:57+01:00

tinyperson tinyperson

24-02-2021

Answer:

4182 is ur answer

Step-by-step explanation:

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A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon? formula: V =4π(r^3)/3 **make sure you use the radius and not the diameter**

Respuesta :

Otras preguntas

A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?

formula: V =4π(r^3)/3 make sure you use the radius and not the diameter