Solve the problem.The volume V (in cubic inches) of a cylindrical pipe with length 12 inches is given by V(r) = 12?r2, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = t2, t ? 0, find the volume V of the pipe as a function of the time t.

What will be an ideal response?


V(t) = ?t4

Mathematics

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A.
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Mathematics