The volume V of a sphere with radius r is given by V = 4/3r 3 .

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The volume V of a sphere with radius r is given by V = 4/3πr3

(a) Does V represent a one-to-one function? 

(b) What does the inverse of V compute?

(c) Find a formula for the inverse. 

(d) Normally we interchange x and y to find the inverse function. Does it make sense to interchange V and in part (c) of this exercise? Explain.

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