The surface area of a sphere of radius r is given by a = 4pir^2 and its volume is given by V = 4/3pir^3 1. If you double the radius of a sphere, then you increase its surface area by a factor of ? 2. and you increase its volume by a factor of ? 3. The relationship between v and a can be described as isometric or allometric? 4.Sketch a plot with Inv on the vertical axis and Ina on the horizontal in the space below: How do you sketch the graph? I am very confused with this part.
The surface area of a sphere of radius r is given by a = 4pir^2 and its volume is given by V = 4/3pir^3 1. If you double the radius of a sphere, then you increase its surface area by a factor of ? 2. and you increase its volume by a factor of ? 3. The relationship between v and a can be described as isometric or allometric? 4.Sketch a plot with Inv on the vertical axis and Ina on the horizontal in the space below: How do you sketch the graph? I am very confused with this part.
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 = 4pir^2 and its volume is given by V = 4/3pir^3
1. If you double the radius of a sphere, then you increase its surface area by a factor of ?
2. and you increase its volume by a factor of ?
3. The relationship between v and a can be described as isometric or allometric?
4.Sketch a plot with Inv on the vertical axis and Ina on the horizontal in the space below:
How do you sketch the graph? I am very confused with this part.
Transcribed Image Text:The surface area of a sphere of radius r is given by a =
If you double the radius of a sphere, then you increase its surface area by a factor of 4
8
The relationship between v and a can be described as
Sketch a plot with In v on the vertical axis and In a on the horizontal in the space below:
6-
3
0
4π2 and its volume is given by v
1.5
3
allometric
4.5
6
4
3
πT
3
and you increase its volume by a factor of
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