- #1
FiveAlive
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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 is not a 'proper' cone shape(it has a 'flat' bottom of 6cm), in the problems I have been solving dealing with cones there has been only one radius to deal with. B) The problem is asking for the rate of change after a period of time. In most problems I have been asked to solve for some variable in the equation( ie ...find the rate of change after a certain height has been reached in the container)
Any suggestions would be appreciated.
V=1/3(3.14) r^2h
I'm a little unsure how to approach this problem for two reasons. A) The glass is not a 'proper' cone shape(it has a 'flat' bottom of 6cm), in the problems I have been solving dealing with cones there has been only one radius to deal with. B) The problem is asking for the rate of change after a period of time. In most problems I have been asked to solve for some variable in the equation( ie ...find the rate of change after a certain height has been reached in the container)
Any suggestions would be appreciated.