   Chapter 2.1, Problem 69E ### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

#### Solutions

Chapter
Section ### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

# Surface area of a Single-Celled Organism The surface area 5 of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Express S as a function of r.Growth of a Cancerous tumor The volume of a spherical cancerous tumor is given by the function V ( r ) = 4 3 π r 3 where r is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is doubled?

To determine

To evaluate: The surface area S of a single –celled organism express as a function of r and the volume of tumor increased if radius is doubled.

Explanation

Given:

The surface area S of a single –celled organism found by multiplying 4π times the square of the radius r of the cell. The volume of a spherical cancerous tumor is given by the function V(r)=43πr3 .

Calculation:

The surface area S of a single –celled organism found by multiplying 4π times the square of the radius r of the cell.

The surface area S of a single –celled organism express as a function of r is S(r)=4πr2

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