Question

A spherical balloon is inflated with gas at the rate of 100π‘π‘š3/π‘šπ‘–π‘›. How fast is the radius of the balloon increasing at that instant when the radius is 3π‘π‘š?

          A spherical balloon is inflated with gas at the rate of 100π‘π‘š3/π‘šπ‘–π‘›. How fast is the radius of the balloon increasing at that instant when the radius is 3π‘π‘š?
        

Added by Michael W.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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A spherical balloon is inflated with gas at the rate of 100π‘π‘š3/π‘šπ‘–π‘›. How fast is the radius of the balloon increasing at that instant when the radius is 3π‘π‘š?
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Transcript

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00:02 Okay, so it is given that a spherical balloon is being filled with air at a constant rate of 2 cm per second.
00:10 So rate of change of volume is 2 cubic centimeter per second and we need to find the rate of change of radius when the radius is 3 cm.
00:22 So first of all, volume of the sphere is given by 4 by 3 by our cube...
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