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What sort of question is this?! watch

1. 'The diagram shows a sold metal cylinder
The cylinder has a base radius 2x and height 9x
The cylinder is melted down and made into a sphere of radius r
Find an expression for r in terms of x'

thank you!
2. (Original post by chloe6126)
'The diagram shows a sold metal cylinder
The cylinder has a base radius 2x and height 9x
The cylinder is melted down and made into a sphere of radius r
Find an expression for r in terms of x'

thank you!
I believe they call this type of question mensuration.

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If you want to actually answer it, I would find expressions for the volume of the sphere and cylinder and equate them.

3. well the volumes have to be the same, so just work from there
4. (Original post by chloe6126)
'The diagram shows a sold metal cylinder
The cylinder has a base radius 2x and height 9x
The cylinder is melted down and made into a sphere of radius r
Find an expression for r in terms of x'

thank you!
it is "setting up and rearranging formulas" in the context of geometric shapes

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