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# c4 doubt Watch

1. Hello, the cartesian equation of a curve is y^2 = x^2 (1 - 1/4 *x^2).

How do we find the volume from x=0 to x=2.
2. (Original post by laurawoods)
Hello, the cartesian equation of a curve is y^2 = x^2 (1 - 1/4 *x^2).

How do we find the volume from x=0 to x=2.
In C4 the formula for the volume of a solid generated by an x axis rotation is

Where x_1 is the point on the left and x_2 is the point on the right. You will need to put the appropriate values in here.
You have an equation y^2 = ... You need to substitute this into the formula and integrate between the given boundaries to find the volume.
3. (Original post by laurawoods)
Hello, the cartesian equation of a curve is y^2 = x^2 (1 - 1/4 *x^2).

How do we find the volume from x=0 to x=2.
Integrate the function.
4. (Original post by joostan)
Integrate the function.
this^
5. (Original post by Goods)
^ this but times π. Its just a volume of revolution question. which is the integral of πr^2 dx between 2 and 0
Yeah, I missed the pi due to a Latex problem but it's in now

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