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

Question

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:

Answer 1

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Step 1: Explanation - 1

Step 2: Explanation - 2

Step 3: Plot for ln(V) vs ln(A)

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