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2. Calculator may be used to determine the final numeric value, but show all steps in solving without a calculator up to the final calculation. The surface area A and volume V of a spherical balloon are related by the equation A³ = 36.7V² where A is in square inches and Vis in cubic inches. If a balloon is being inflated with gas at the rate of 18 cubic inches per second, find the rate at which the surface area of the balloon is increasing at the instant the area is 153.24 square inches and the volume is 178.37 cubic inches.

2. Calculator may be used to determine the final numeric value, but show all steps in solving without a calculator up to the final calculation. The surface area A and volume V of a spherical balloon are related by the equation A³ = 36.7V² where A is in square inches and Vis in cubic inches. If a balloon is being inflated with gas at the rate of 18 cubic inches per second, find the rate at which the surface area of the balloon is increasing at the instant the area is 153.24 square inches and the volume is 178.37 cubic inches.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 15P: Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank...
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2. Calculator may be used to determine the final numeric value, but show all steps in solving without a calculator up to the final calculation. The surface area A and volume V of a spherical balloon are related by the equation A³ = 367V² where A is in square inches and Vis in cubic inches. If a balloon is being inflated with gas at the rate of 18 cubic inches per second, find the rate at which the surface area of the balloon is increasing at the instant the area is 153.24 square inches and the volume 178.37 cubic inches.
Transcribed Image Text:2. Calculator may be used to determine the final numeric value, but show all steps in solving without a calculator up to the final calculation. The surface area A and volume V of a spherical balloon are related by the equation A³ = 367V² where A is in square inches and Vis in cubic inches. If a balloon is being inflated with gas at the rate of 18 cubic inches per second, find the rate at which the surface area of the balloon is increasing at the instant the area is 153.24 square inches and the volume 178.37 cubic inches.
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