Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 9 cubic feet per minute
Homework Answers
everything is right except v=9pi(h)
differentiate both sides. gives you...
dv/dt=9pi dh/dt
9/9pi= dh/dt.
dh/dt= 1/pi
Volume of water = π(3^2)h = 9πh
dV/dt = 18π dh/dt
9/(18π) = dh/dt
dh/dt = 1/(2π) , a constant no matter what the height is
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