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Re: Anyone in differential calculus? I need help with this:

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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:17 AM
Ugh, end-of-the-year struggles are real:

The formula for the volume of a cone is V=(1/3)(pi)r^2(h). Find the rate of change of the volume if dr/dt is 2 inches per minute and h = 3r when (a) r = 6 inches and (b) r = 24 inches.

I'm assuming I take the derivative of the volume equation, and since it's directly proportional to time, it's dV/dt = (1/3)...

After the (1/3), I don't know what to do. Do I place h with 3r and then differentiate using the chain rule, or do I use the product rule?
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TheFootballAtheist is not online. TheFootballAtheist
Joined: 18 Jan 2015
Total Posts: 23217
20 May 2015 12:18 AM
C
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Lomhk is not online. Lomhk
Joined: 08 Feb 2014
Total Posts: 2083
20 May 2015 12:18 AM
that looks hard lol
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lihavasumo is not online. lihavasumo
Joined: 07 Aug 2008
Total Posts: 19263
20 May 2015 12:20 AM
Would help
but english isn't my native language
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Gradiance is not online. Gradiance
Joined: 30 Dec 2009
Total Posts: 10735
20 May 2015 12:21 AM
yeah geometry!
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9draco is not online. 9draco
Joined: 13 Nov 2010
Total Posts: 5841
20 May 2015 12:23 AM
If youre done making yourself look "smart" In a kids game, go check youtube tutorials or google it.
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:26 AM
What about this one, it's a little easier but I'm still kinda clueless.
It's my last lesson for the year, it's a hard one:

All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each edge is (a) 1 centimeter and (b) 10 centimeters?

I'm assuming I use the equation for the volume of a cube: V = b*w*h
however since it's a cube, the base and width are constant, so it's b^2 or w^2.
Then I differentiate the sides?

HELP
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:26 AM
my god, my final is on tuesday and I don't have this all down
I'm screwed
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TheFootballAtheist is not online. TheFootballAtheist
Joined: 18 Jan 2015
Total Posts: 23217
20 May 2015 12:28 AM
I like to lower my expectations

Makes everything easier
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wuh is not online. wuh
Joined: 21 Mar 2010
Total Posts: 1072
20 May 2015 12:28 AM
why are you asking a bunch of 7th graders for calculus help?
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:29 AM
I want to go into engineering but the field I want to go into won't ever use this level of calculus
Aghhhh
I'm so close to the summer
Just got to finish this last hw assignment, and do my final. C.C
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9draco is not online. 9draco
Joined: 13 Nov 2010
Total Posts: 5841
20 May 2015 12:29 AM
If youre done making yourself look "smart" In a kids game, go check youtube tutorials or google it. [2]

By the way edge (a) stays at 3CM/Sec since its only 1 CM.
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:30 AM
@sitar
mixer/european and a couple other's know this stuff
+ FB is dead and this is due tomorrow, and I don't know where else to get help
Google is giving me like, college level stuff which I don't understand
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rappingkillerb is not online. rappingkillerb
Joined: 17 Jun 2011
Total Posts: 15409
20 May 2015 12:30 AM
youtube im only in advanced algebra :p


"You've got enemies? Good. That means you actually stood up for something." -Eminem
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Mixernxer is not online. Mixernxer
Joined: 06 Sep 2008
Total Posts: 14112
20 May 2015 12:30 AM
@9 dont confuse asking for help with bragging
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:31 AM
Impossible 9draco, you can't substitute before differentiation.
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Mixernxer is not online. Mixernxer
Joined: 06 Sep 2008
Total Posts: 14112
20 May 2015 12:32 AM
although I can't help you, heres a link

http://math.stackexchange.com/questions/234604/how-do-you-calculate-the-rate-of-change-of-the-volume-of-a-cone-at-a-given-heigh
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:32 AM
Help me mr mix
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9draco is not online. 9draco
Joined: 13 Nov 2010
Total Posts: 5841
20 May 2015 12:32 AM
@Mixer, Yeah go to a kids game and ask a calculus question and expect some kids to answer him. -_-
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lihavasumo is not online. lihavasumo
Joined: 07 Aug 2008
Total Posts: 19263
20 May 2015 12:32 AM
wdf is volume cone?
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KrebsTheMapointer is not online. KrebsTheMapointer
Joined: 13 Jul 2011
Total Posts: 1832
20 May 2015 12:32 AM
I like no nothing about math, I'm excellent at history doe.
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Mixernxer is not online. Mixernxer
Joined: 06 Sep 2008
Total Posts: 14112
20 May 2015 12:33 AM
@9 he seeks advice from people who know math, once you understand formulas are logic generalizations math becomes easier
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9draco is not online. 9draco
Joined: 13 Nov 2010
Total Posts: 5841
20 May 2015 12:33 AM
Oh I didnt notice that you asked for this, "volume changing" I thought you simply have to divide the edge's length with the speed its expanding.
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9draco is not online. 9draco
Joined: 13 Nov 2010
Total Posts: 5841
20 May 2015 12:34 AM
@Mixer, if so, he could ask in the "scripters" sub-forum, there are many geniuses in math over there.
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superspy468 is not online. superspy468
Joined: 29 May 2009
Total Posts: 53408
20 May 2015 12:34 AM
@mix
ty
I just needed to see what the derivative of the cone's volume formula was
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