hmm does anyone know how to get the picture to show up ? with out having to click on it ?
For the hollow cylinder shown, assume that R and r are increasing at a rate of 2 m/s, and h is decreasing at a rate of 3 m/s. at what rate is the volume changing when R= 7m and r =4m and h = 5m ?
please help me on the path to solving this problem. I'm sorry the picture isn't perfect.
this solid is a large cylinder with a smaller cylindrical "hole" in it ...
as I stated earlier, once you get the derivative w/r to time sub in your given values for R, r, h, and their respective rates of change to determine dV/dt.
note the following derivative for the first term on the right side of the equation
Ok is dh/dt equivilant to writing h prime ? ok I understand that now, so when I solve for any related rates problem I use implicit differentiation. ok so now the rate values would be substituted with the R prime h prime and r prime variables, or the dR/dt, dh/dt and dr/dt correct ?