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thomasrules

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the Volume of a sphere is given by [tex]V(r) = \frac{4}{3}\pi(r)^3[/tex]

Find the average rate of change of volume with respect to radius as the radius changes from 10 cm to 15 cm.

Ok what I tried is: [tex]\lim_{r\rightarrow 15} \frac{V(r)-V(a)}{r-a}[/tex]

[tex]P(a,V(a))=(15,14 137)\\ Let\ r=10 \lim_{r\rightarrow 15} \frac{\frac{4}{3}\pi(10)^3-14,137}{10-15} = 1989[/tex]

and I would do that for 10 to 15 and get the average rate but somethign is wrong here...

Find the average rate of change of volume with respect to radius as the radius changes from 10 cm to 15 cm.

Ok what I tried is: [tex]\lim_{r\rightarrow 15} \frac{V(r)-V(a)}{r-a}[/tex]

[tex]P(a,V(a))=(15,14 137)\\ Let\ r=10 \lim_{r\rightarrow 15} \frac{\frac{4}{3}\pi(10)^3-14,137}{10-15} = 1989[/tex]

and I would do that for 10 to 15 and get the average rate but somethign is wrong here...

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