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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

A spherical balloon is being filled with air in such a way that its radius is increasing at a constant rate of 2 cm/s. At what rate is the volume increasing at the instant when its surface area is \(4\pi\) cm\(^2\)?

**Note:**
- Surface Area, \(S.A. = 4\pi r^2\)
- Volume, \(V = \frac{4}{3}\pi r^3\)
Transcribed Image Text:**Problem Statement:** A spherical balloon is being filled with air in such a way that its radius is increasing at a constant rate of 2 cm/s. At what rate is the volume increasing at the instant when its surface area is \(4\pi\) cm\(^2\)? **Note:** - Surface Area, \(S.A. = 4\pi r^2\) - Volume, \(V = \frac{4}{3}\pi r^3\)
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