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 V is 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 V is 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.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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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 = 36.7V² where A is in square inches and V is 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.
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