A machine is rolling metal cylinder under pressure. The radius of the cylinder is decreasing at a constant rate of 0.05 inches per second and the volume V is 128 cubic inches. At what rate is the length H changing when the radius r is 2.5 inches?
A machine is rolling metal cylinder under pressure. The radius of the cylinder is decreasing at a constant rate of 0.05 inches per second and the volume V is 128 cubic inches. At what rate is the length H changing when the radius r is 2.5 inches?
Use your hint.
Note: It would help if you could post in a less general category and profide a more descriptive title. It might give a clue as to your level or what class you are in or what tools should be used.
In this case, it's a nice differential calculus problem. If you're in a different class, that will be a problem.
r and h are functions of time.
V is constant, so dV = 0
dr is given as -0.05"/sec
Find dh when r = 2.5"
Complete derivative:
dV is known.
r is given.
dh/dt is what we need. We'll have to solve for it after everything else is found.
h - You will have to solve for this from the Hint.
dr/dt is given.
Substitute and solve.
Additional Note: Please show your work. It is a great place to learn where you are in your mathematics understanding.
Samantha, Samantha...I did nearly the entire problem for you. It is time for you to start showing a little more gumption. Please go read the previous post and pick out the statements that contain instructions for you to follow.
Really, there remains only a little algebra. If you cannot do it, you should go have a really frank conversation with your academic advisor.