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 3 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?
 3 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?

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Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.6Noo..? This is a maths question.

imranmeah91
 3 years ago
Best ResponseYou've already chosen the best response.3This is what's called related rate problem

imranmeah91
 3 years ago
Best ResponseYou've already chosen the best response.3volume of sphere = 4/3 Pi r^3

moneybird
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1324353965977:dw

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.6I know, i got stuck, there's not enough info :/

moneybird
 3 years ago
Best ResponseYou've already chosen the best response.0first find the derivative of V first

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.6I already know. I got stuck in dA/dt = 8pi3*dr/dt There's not enough info.

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1your missing the rate that the radius is increasing.

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.6I found that the radius is sqrt(3)

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1how did you come about that? there is no volume given

moneybird
 3 years ago
Best ResponseYou've already chosen the best response.0i mean the derivative of volume

imranmeah91
 3 years ago
Best ResponseYou've already chosen the best response.3write 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

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1We would still need r though right? or do you think they want the answer in terms of r?

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.1boo i already gave you a medal lolol

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

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.6Shut up Hero, people don't need to know that i dont know basic maths. v= s/3r? where did that come from?

imranmeah91
 3 years ago
Best 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
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