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/sci/ - Science & Math

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4063030 No.4063030 [Reply] [Original]

I have a cylinder (pic is view from top), that is 50cm deep. I need to find the volume of the green area. How would I go about this?

>> No.4063046

Trigonometry and integrals. Annoying to do and not interesting.

>> No.4063050

>>4063030
Here's a good wiki article explaining it all step-by-step. I'll assume you know how to get from the area of the segment to its volume in a cylinder.

http://en.wikipedia.org/wiki/Circular_segment

>> No.4063062

>>4063046
with that attitude i'm surprised you made it through high school

>> No.4063206

How about this?

Use heron's formula to figure out the area of the circle.
That gives you 49. 24 cm.

Then, figure out the area of the triangle.
That gives you about 314 cm squared.

Then, figure out how much of the circle that 80 degree chunk takes up. 80 / 360 = 0.22.

Then, take 0.22 x 314 to figure out how much of the circle that angle takes up. That gives me 69.08.

Then, we just subtract the area of the triangle from that.

69.08 - 49.24 = 19.84 cm^2.

Lots of approximating, but just a guess.

>> No.4063211

>>4063206
Oh, and then just multiply it by 50 cm to get the volume. So that gets you about 992 cm^3.