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A very small cylinder-shaped bacterium is growing larger. Its volume is growing at a rate of 300nm^3/s. Its radius appears to be growing at a

A very small cylinder-shaped bacterium is growing larger. Its volume is growing at a rate of 300nm^3/s. Its radius appears to be growing at a rate that is twice as fast as the growth rate of its height (both rates are in nm/s). Right now its radius is 10nm and its height is 20nm. Find the growth rate of both its height and its radius right now as fractions in terms of pi, with units.

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