Cross - Sectional Volume with One Axis Question

[trantheman]

So basically with this question I am kinda stuck and don't really know where to begin as the question is really confusing me. Help would be much appreciated and I would totally forever be thankful to whoever helps me out. It would be really nice of you to show working

 

[Deleted member 4993]

So basically with this question I am kinda stuck and don't really know where to begin as the question is really confusing me. Help would be much appreciated and I would totally forever be thankful to whoever helps me out. It would be really nice of you to show working

View attachment 5041

First calculate EF as a function of 'x'.

Then calculate the area of the shaded triangle.... and continue.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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[trantheman]

First calculate EF as a function of 'x'.

Then calculate the area of the shaded triangle.... and continue.

So basically I calculated EF as 2*sqrt(a^2-x^2). How do I go about calculating the triangle area? What is the height in this case? Is the height d, then the area is d*sqrt(a^2-x^2)

 

[trantheman]

So the volume you integrate that area in respect to x and between what exactly?

 

[Deleted member 4993]

So the volume you integrate that area in respect to x and between what exactly?

The limits would be ±a - quite obvious from the sketch.

 

[trantheman]

I got for the volume a^2*d*pi is this correct???

 

[Deleted member 4993]

I got for the volume a^2*d*pi is this correct???

Sounds good - I get the same,,,

 

[trantheman]

Thanks for the help