The surface area of a sphere of radius r is given by a=4πr2and its volume is given by v=43πr3 . If you double the radius of a sphere, then you increase its surface area by a factor of______ and you increase its volume by a factor of ____ . The relationship between v and a can be described as isometric or allometric ? . Sketch a plot with lnv on the vertical axis and lna on the horizontal in the space below
The surface area of a sphere of radius r is given by a=4πr2and its volume is given by v=43πr3 . If you double the radius of a sphere, then you increase its surface area by a factor of______ and you increase its volume by a factor of ____ . The relationship between v and a can be described as isometric or allometric ? . Sketch a plot with lnv on the vertical axis and lna on the horizontal in the space below
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The surface area of a sphere of radius r is given by a=4πr2and its volume is given by v=43πr3 .
If you double the radius of a sphere, then you increase its surface area by a factor of______ and you increase its volume by a factor of ____ .
The relationship between v and a can be described as isometric or allometric ? .
Sketch a plot with lnv on the vertical axis and lna on the horizontal in the space below:
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