anonymous
  • anonymous
Please, I am quite confused on how to get the volume of an irregular shape. I have been given basically 4 points ( origin - 0,3 - 3,0 - 4,3). If you connect the dots, you will get a shape that looks like a half reeses cup. Just using that shape, I am to find the volume of the candy (it's a candy) after it's been rotated about the y-axis. Thank you for all your help! In addition, I don't feel like the washer method would work here since it's a complete solid...
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1332566098337:dw|
anonymous
  • anonymous
The area of the figure, a trapazoid is:\[\frac{1}{2}h(a+b)=\frac{1}{2}3(4+3)=\frac{21}{2} \]
anonymous
  • anonymous
but i am supposed to use integration to solve this.

Looking for something else?

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

More answers

dumbcow
  • dumbcow
|dw:1332566806943:dw| then solve for x to get inverse function x = (y+9)/3 \[V = \pi \int\limits_{0}^{3}(\frac{y+9}{3})^{2} dy\]
anonymous
  • anonymous
you sir are a genius! thank you sooo much! however, can you explain the shell method to me a little bit? I know that you have it as x time f(x) in the inside, but for the rest... i am lost. and once agian... thank you!!!
dumbcow
  • dumbcow
sure, shell method sums up all the surface areas from center to outer edge of solid actually i think i messed up the integral for that one anyway surface area = circumference*height = 2pi*radius*height --> 2pi*x*f(x) where i messed up is from 3 to 4, the height changes from 3 to 0 or is 3-f(x) \[V = 2\pi \int\limits_{0}^{3}(3x) dx + 2\pi \int\limits_{3}^{4}x(3-(3x-9)) dx\] so for this problem the disc method is easier:)
dumbcow
  • dumbcow
the first part is 3*x because height of candy is constant at 3 for x 0->3
anonymous
  • anonymous
Oh, Ok. Yeah, the disk method is soo much easier now that I realize why we would use the x = equation instead of doing anything else. Thanks!!!! and have a great evening/night!

Looking for something else?

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