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April 16, 2014

Homework Help: calculus

Posted by Becky on Saturday, August 11, 2012 at 4:19pm.

A bicycle wheel has a diameter D = 60 cm and the tyre has a cross sectional radius of r = 2.5 cm. The volume V of the inner tube is given by

V = pi^2 D r^2 + (8/3*pi*r^3)

If air is being pumped into the tyre so that the volume of the inner tube is increasing at the rate of 12 cm3/sec, what is the rate at which the cross sectional radius r of the inner tube is increasing in cm/sec? (Assume the diameter D is not changing.)

Correct a decimal number to 3 significant figures.

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