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# GCSE Maths Question watch

1. Hello

I'm extremely stuck on this maths question from a 9-1 paper. The question should be attached.

The main problem is is that I don't know what topic it falls under, as I have looked through all three of my textbooks and I can't find a question that even looks similar to it. I know that it consists of finding the volume of an irregular hemisphere by using the equation of the curve, but I don't know how to apply this knowledge to the question.

Any help is appreciated.
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2. (Original post by LaraPi_)
Hello

I'm extremely stuck on this maths question from a 9-1 paper. The question should be attached.

The main problem is is that I don't know what topic it falls under, as I have looked through all three of my textbooks and I can't find a question that even looks similar to it. I know that it consists of finding the volume of an irregular hemisphere by using the equation of the curve, but I don't know how to apply this knowledge to the question.

Any help is appreciated.
You need to find the depth of the bowl, so you need to calculate the value of y at the lowest point on the curve.
3. first step would be to complete the square
4. (Original post by Natsuki_Subaru)
first step would be to complete the square
How would I do that with the format of the equation?
5. (Original post by LaraPi_)
How would I do that with the format of the equation?
take a factor of 1/10 outside the bracket

1/10(x^2-30x)
does that help
the depth of the bowl would be the minimum y value that you get after completing the square
6. (Original post by Natsuki_Subaru)
take a factor of 1/10 outside the bracket

1/10(x^2-30x)
does that help
the depth of the bowl would be the minimum y value that you get after completing the square
That helps a lot. Thank you!
7. (Original post by LaraPi_)
That helps a lot. Thank you!
no problem

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