Mimi_x3
  • Mimi_x3
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?
Mathematics
chestercat
  • chestercat
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Mimi_x3
  • Mimi_x3
Noo..? This is a maths question.
anonymous
  • anonymous
This is what's called related rate problem
Mimi_x3
  • Mimi_x3
rate of change.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
volume of sphere = 4/3 Pi r^3
anonymous
  • anonymous
|dw:1324353965977:dw|
Mimi_x3
  • Mimi_x3
I know, i got stuck, there's not enough info :/
anonymous
  • anonymous
first find the derivative of V first
Mimi_x3
  • Mimi_x3
I already know. I got stuck in dA/dt = 8pi3*dr/dt There's not enough info.
anonymous
  • anonymous
your missing the rate that the radius is increasing.
anonymous
  • anonymous
youre*
Mimi_x3
  • Mimi_x3
I found that the radius is sqrt(3)
anonymous
  • anonymous
how did you come about that? there is no volume given
anonymous
  • anonymous
i mean the derivative of volume
anonymous
  • anonymous
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
anonymous
  • anonymous
We would still need r though right? or do you think they want the answer in terms of r?
anonymous
  • anonymous
boo i already gave you a medal lolol
Hero
  • Hero
Mimi skipped basic math and went straight to calculus.
Mimi_x3
  • Mimi_x3
Shut up Hero, people don't need to know that i dont know basic maths. v= s/3r? where did that come from?
anonymous
  • anonymous
*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
Mimi_x3
  • Mimi_x3
ty.

Looking for something else?

Not the answer you are looking for? Search for more explanations.