Hello, Please answer the following attached Calculus question correctly and show all your work completely without skipping any steps. Please make sure to write neatly and box your answer. Thank you. Air is being pumped into a spherical balloon so that its volume increases at a rate of 2 cm³/seconds. How fast isthe radius of the balloon increasing when the diameter is 6 cm?(Hint: Volume of a sphere =ar³, where r is the radius of the sphere.)3

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? (Hint: Volume of a sphere =ar³, where r is the radius of the sphere.) %3D

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? (Hint: Volume of a sphere =ar³, where r is the radius of the sphere.) %3D

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 45AR

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Question

Hello, Please answer the following attached Calculus question correctly and show all your work completely without skipping any steps. Please make sure to write neatly and box your answer. Thank you.

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?
(Hint: Volume of a sphere =ar³, where r is the radius of the sphere.)
3

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