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water tanks?

Two cylindrical water tanks stand side by side. One has a radius of 4 meters and contains water to a depth of 12.5 meters. The other has a radius of 3 meters and is empty. Water is pumped from the first tank to the second tank at a rate of 10 cubic meters per minute. How long, to the nearest tenth of a minute, must the pump run before the depth of the water is the same in both tanks?
Please, show works and explanations.

area of tank 1 is 4*pi m^2
area of 2nd is 2.25*pi m^2
water level in tank 1 will be (12.5 -V/(4*pi)) m where V is the volume pumped

level in tank 2 will be V/(2.25*pi) m
for the levels to be the same
12.5-V/(4*pi)=V/(2.25*pi) multiply by 9*pi
112.5*pi-2.25V=4V
112.5*pi=1.75V
V=112.5*pi/1.75=201.96 m^3
at 10 m^3/min that will take 20.16 min=20 min 12 sec

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