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The volume of a sphere radius r increases at 12pi cm^3/minute by inflation. What is the rate of growth of its surface area?
 2 years ago
 2 years ago
The volume of a sphere radius r increases at 12pi cm^3/minute by inflation. What is the rate of growth of its surface area?
 2 years ago
 2 years ago

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Mimi_x3Best ResponseYou've already chosen the best response.6
Noo..? This is a maths question.
 2 years ago

imranmeah91Best ResponseYou've already chosen the best response.3
This is what's called related rate problem
 2 years ago

imranmeah91Best ResponseYou've already chosen the best response.3
volume of sphere = 4/3 Pi r^3
 2 years ago

moneybirdBest ResponseYou've already chosen the best response.0
dw:1324353965977:dw
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
I know, i got stuck, there's not enough info :/
 2 years ago

moneybirdBest ResponseYou've already chosen the best response.0
first find the derivative of V first
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
I already know. I got stuck in dA/dt = 8pi3*dr/dt There's not enough info.
 2 years ago

joemath314159Best ResponseYou've already chosen the best response.1
your missing the rate that the radius is increasing.
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
I found that the radius is sqrt(3)
 2 years ago

joemath314159Best ResponseYou've already chosen the best response.1
how did you come about that? there is no volume given
 2 years ago

moneybirdBest ResponseYou've already chosen the best response.0
i mean the derivative of volume
 2 years ago

imranmeah91Best ResponseYou've already chosen the best response.3
write equation relating volume to surface area v= 4/3 Pi r^3 S= 4 Pi r^2 v= s/3 r dv/ds= 1/3r dv= 1/3 r ds
 2 years ago

joemath314159Best ResponseYou've already chosen the best response.1
We would still need r though right? or do you think they want the answer in terms of r?
 2 years ago

joemath314159Best ResponseYou've already chosen the best response.1
boo i already gave you a medal lolol
 2 years ago

HeroBest ResponseYou've already chosen the best response.0
Mimi skipped basic math and went straight to calculus.
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.6
Shut up Hero, people don't need to know that i dont know basic maths. v= s/3r? where did that come from?
 2 years ago

imranmeah91Best ResponseYou've already chosen the best response.3
*minor correction v= 4/3 Pi r^3 S= 4 Pi r^2 v= (s r)/3 dv/ds= r/3 dv= r/3 ds (12*3 Pi)/r= ds
 2 years ago
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