Posted by **mary** on Sunday, March 11, 2012 at 4:47pm.

hello, please help me.

A cylindrical can is being heated with its height increasing at the rate of 0.01cm/min and its diameter at the rate of 0.005cm/min. At what rate is the volume increasing when the can has a diameter of 15cm and a height of 20cm.

this is how i'm going about the question. I have to find dv/dt. my known variables (i think) are dh/dt=0.01 and ddiam/dt=0.005. and i'm using the equation V=(pi)r^2 * h

I've never done a question before where i was given two rates before, can you please tell me how to go about this question? the solution is 4.123~cm^3/min

and just a little side question. let's say i'm given the rate for the increasing diameter. (as in the question is 0.005cm/min) can i divide that by 2 to get the rate of increasing radius?

Thank you so much for your time

- calculus: related rates -
**bobpursley**, Sunday, March 11, 2012 at 5:06pm
V= PI r^2 * h

dv/dt= PI (2rh dr/dt+ r^2 dh/dt)

you are given dh/dt, dr/dt. Find dv/dt when those are given, and given r and h.

- calculus: related rates -
**mary**, Sunday, March 11, 2012 at 5:29pm
:O Thank you so much, for some reason i totally forgot about the product rule! hahah... :)

## Answer This Question

## Related Questions

- Calculus Related Rates - If a spherical balloon is inflated and its volume is ...
- Calculus - A spherical balloon a has a diameter 2 m when it is 1500m high . It ...
- calculus - A spherical balloon is being inflated so that its volume is ...
- Word Problem-Calculus - A spherical balloon is being inflated in such a way that...
- Calculus - The base of a triangle is decreasing at the rate of 2 cm/ min and the...
- Related Rates - Water is leaking out of an inverted conical tank at a rate of ...
- Calculus - A spherical balloon is being inflated and the radius of the balloon ...
- Calculus - Water is leaking out of an inverted conical tank at a rate of 10,000 ...
- Calculus - A spherical balloon is inflated so that its volume is increasing at ...
- Math - A spherical balloon is being inflated so that its volume is increasing at...

More Related Questions