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Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in cm ) in terms of r and h. V = cm Find the radius of a cone (In cm) when its diameter is 4 m. F - 200 cm Find the value of h (in cm) if the height is known to be 2 m. h = 200 cm Water is leaking out of an inverted conical tank at a rate of 11,500 cm-/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.) 42528 * cm-/min Enhanced Feedback radius at the top _height of the tank Please try again. Note that the radius r of the cross section at hight h can be obtained using similar triangles, Indeed, h Using the given values of the radius (half of the diameter) at the top and the height of the water tank in this relation, you can solve for r. Next, you need to use the formula for the volume of a conical cylinder of height h and base radius , V= _ah, and plug in the expression for / to write V as a function of h, Finally, differentiate with respect to t using the Chain Rule to obtain the relation between and In, Let C - (rate water is pumped in), Then du dt de dV - c - (rate water is pumped out). Now, you can obtain the value of C. Need Help? Read It Watch