Related rates question. Inverted cone. Please check my work :)

Question

babynini · Answer

attachment

babynini · Answer

the Question: "Water is being poured into a cup in the shape of an inverted circular cone at the rate of 2cm^3/sec. The paper cup is 12cm tall and has a diameter of 8cm. Water pours out of the bottom of the cup at a rate of 0.2cm^3/sec. how fast is the height of the cup rising when the water is 5 cm deep?"

I think he meant to ask how fast is the water rising when the water in the cup is 5 cm deep.

babynini · Answer

@freckles @amistre64 either of you free? :) Sorry about the bad quality picture!

kainui · Answer

Ok, yeah I just read through this, it looks like you're doing everything right. Even if you were wrong, your strategy for solving these is perfect so keep it up.

babynini · Answer

Is the answer correct?

babynini · Answer

thanks for reading through it! :)

freckles · Answer

looks good to me too

kainui · Answer

I would say it's correct but I'm human and susceptible to the same mistakes as you, but I'd be willing to bet 20 bucks you're right xD

freckles · Answer

You did the similar triangles which a lot of people have problems with...
So I think you did like extra amazing.

babynini · Answer

d'awee shucks.

babynini · Answer

Thanks both of you :}