Chapter 2.8, Problem 7E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The radius of a spherical ball is increasing at a rate of 2 cm/min. At what rate is the surface area of the ball increasing when the radius is 8 cm?

To determine

**To find**:

The rate at which the surface area of the ball is increasing.

Explanation

**1. Formula:**

i. Surface area of sphere

ii. Power rule of differentiation:

Â iii. Chain rule of differentiation:

**2. Given:**

i.

ii.

**3. Calculations:**

Differentiate both sides with respect to t

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