- #1
Jacobpm64
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Water is flowing down a cylindrical pipe of radius r.
(a) Write a formula for the volume, V, of water that emerges from the end of the pipe in one second if the water is flowing at a rate of
(i) 3 cm/sec (ii) k cm/sec
(b) Graph your answer to part (a)(ii) as a function of
(i) r, assuming k is constant
(ii) k, assuming r is constant
All right, I just don't know where to start at all... I'm thinking that I'll probably need the formula for the volume of a cylinder. Besides that, I don't know what I have to do with the formula. I'm completely clueless on how to implement the rates of water flow into the volume of a cylinder formula.. if that's even what I have to do... I'm sure that if I can figure out part (a), part (b) won't be much of a problem. (just solving for different variables and graphing)
(a) Write a formula for the volume, V, of water that emerges from the end of the pipe in one second if the water is flowing at a rate of
(i) 3 cm/sec (ii) k cm/sec
(b) Graph your answer to part (a)(ii) as a function of
(i) r, assuming k is constant
(ii) k, assuming r is constant
All right, I just don't know where to start at all... I'm thinking that I'll probably need the formula for the volume of a cylinder. Besides that, I don't know what I have to do with the formula. I'm completely clueless on how to implement the rates of water flow into the volume of a cylinder formula.. if that's even what I have to do... I'm sure that if I can figure out part (a), part (b) won't be much of a problem. (just solving for different variables and graphing)