SOLUTION: Hello, I have this question on a past paper for my exams which I am struggling with;
"A gourmet chef is renowned for her spherical shaped souffle. Once it's put in the oven, its
Algebra.Com
Question 601881: Hello, I have this question on a past paper for my exams which I am struggling with;
"A gourmet chef is renowned for her spherical shaped souffle. Once it's put in the oven, its volume increases at a rate proportional to its radius.
Show that the radius r cm of the souffle, at time t minutes after it has been put in the over, satisfies the differential equation where k is constant."
Thank you :)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
"its volume increases at a rate proportional to its radius"
Therefore, 
where C is a constant. However we also know that
because the souffle is shaped like a sphere. Substitute into the first equation to obtain
Solve for dr/dt
(k is another constant).
RELATED QUESTIONS
Hello I need some help with this question which I have been given on my maths past paper. (answered by Alan3354)
Hello, my name is Rebecca Ghisoiu. I attend Western Govorners University, an online... (answered by Theo)
Hello, the following question is from a past exam paper on algebra & complex numbers that (answered by jim_thompson5910,rviksub)
On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he... (answered by chessace)
Hello :)
I'm struggling with this question and need some guidance to it. I can solve... (answered by Alan3354)
on monday mr. toad bought 10 gourmet flies and 4 gourmet worms for $34. on tuesday he... (answered by dabanfield)
Hello!
Here's my question:
In triangle KLM, P is the midpoint of the line segment LM. (answered by Earlsdon,Thanenjayan)
In the problem...
The Tadashi corporation manufactures a large speaker and a small... (answered by acerX)
hello I am looking to see what the square root of -171 would be I am getting multiple... (answered by ikleyn)