A cylindrical tank with a radius of 3 feet is partly full of water as shown belo

Question

A cylindrical tank with a radius of 3 feet is partly full of water as shown below.

Create a formula that relates h and V, where V represents the volume of the water in the tank.

V = 9pih is the formula

The tank is filling with water at a rate of

3.8 ft3/min.

Find the rate of change of h. Round your answer to three decimal places and include correct units.

=

dh dt A cylindrical tank with a radius of 3 feet is partly full of water as shown below. Create a formula that relates h and V, where V represents the volume of the water in the tank. V = 9pih is the formula The tank is filling with water at a rate of 3.8 ft3/min. Find the rate of change of h. Round your answer to three decimal places and include correct units. dh dt =

Explanation / Answer

V = 9pih

dV/dT = 9pi *dH/dT

3.8 = 9*pi*dH/dT

dH/dT = 0.134 ft/min

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