Could I use R=5H/20 and plug 3 in as a constant? If you plug in 0, the answer will still be 0 however I am a little unsure what else to try since I can't think of a number that i can multiply times 0 and not get 0, unless I just add 3 on to the end like
R= 5h/20 + 3
OK cool I think I get what you're going at. If I put those point on a graph the slope would be a slope of R/H=10/1. I can sub that in for R and put 3 in for r because it's a constant. Simplified it might look a little something like this
V= 100H^3(1/3)∏ + 90H^2(1/3)∏ + 9H(1/3)∏
I'm still...
A water glass (10 cm diameter at the top, 6 cm diameter at the bottom, 20 cm in height) is being filled at a rate of 50 cm^3/min. Find the rate of change of the height of the water after 5 seconds.
V=(∏* (h/3)) * (R^2 + r^2 +(R*r))
I've been messing around with this for a bit and made a...
Update: Still a little unsure how to resolve the time issue of this problem however I believe I would use the formula V=1/3(3.14)(R^2H-r^2h) to solve for my irregular cone. Am I on the right track?
Update: So I've been looking at my rates of change according to height (at 1 cm, 2 cm, 3 cm ect) and I'd be able to solve it if the cone didn't have a 6 cm diameter. I am still unsure how to tackle this issue.
A water glass (10 cm diameter at the top, 6 cm diameter at the bottom, 20 cm in height) is being filled at a rate of 50 cm^3/min. Find the rate of change of the height of the water after 5 seconds.
V=1/3(3.14) r^2h
I'm a little unsure how to approach this problem for two reasons. A) The glass...
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