I need help with this problem. I have tried a few things, but really have no idea what to do. Thanks for any help.
Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 10 cm. We have used the notation Dy for Δy.

Question

I need help with this problem. I have tried a few things, but really have no idea what to do. Thanks for any help.
Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 10 cm. We have used the notation Dy for Δy.

anonymous · Answer

post the pic & question

akausen · Answer

attachment

compassionate · Answer

@AravindG

aravindg · Answer

Can you tell me what will be f(x_k) here considering the fact that we are dealing with volumes?

akausen · Answer

I thought I would use the area of a circle, pi r^2, and multiply that by Dy, the width of each piece. That's all I've come up with.

akausen · Answer

I'm not sure what you mean by f(x_k) @AravindG

aravindg · Answer

Oh yes it's the area(my bad). f(x_k)  is the area function of radius k.

anonymous · Answer

lol, sometimes math is so complicated and...WEIRD...

akausen · Answer

Oh, I see. I don't know where to go from there. I know the Riemann sum is the sum of f(xi)Dx where Dx= (b-a)/n= 10/n and xi=a+iDx=10i/n since a and b in the picture I provided are 0 and 10 respectively. I know those two are correct. However, I don't think I use this formula for this problem. I'm pretty sure I use pi r^2 somehow, but I'm not sure how to go about it. @AravindG