Air is being pumped into a spherical balloon so that its volume increases at a rate of 2 cm³/seconds. How fast is the radius of the balloon increasing when the diameter is 6 cm (in exact value and in terms of n)? (Hint: Volume of a sphere =ar³, where r is the radius of the sphere.)

Air is being pumped into a spherical balloon so that its volume increases at a rate of 2 cm³/seconds. How fast is the radius of the balloon increasing when the diameter is 6 cm (in exact value and in terms of n)? (Hint: Volume of a sphere =ar³, where r is the radius of the sphere.)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Question

Hello, Please answer the following attached Calculus question correctly, and show all your work completely. Please make sure to Find the answer in exact value and in terms of Pi. Also, please box your answer. Thank you.