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Pachacha [2.7K]
2 years ago
15

100%

Mathematics
1 answer:
creativ13 [48]2 years ago
7 0

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

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

Aspherical balloon has a radius of 6 feet, hence the volume is:

V = \frac{4\pi 6^3}{3} = 905

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

V(t) = 0.8(905) - 30t

V(t) = 724 - 30t

It will be completely empty when:

V(t) = 0

724 - 30t = 0

30t = 724

t = \frac{724}{30}

t = 24.1

Rounding, it will take 24 hours for the balloon to become completely empty.

More can be learned about the volume of a sphere at brainly.com/question/25608353

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