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8 December, 20:15

In the equation SA = 4πr^2h,

what happens to R if the height is tripled and the surface area stays the same.

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  1. 8 December, 20:51
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    SA, 4 and pi are all constants so you can ignore them.

    * edit: had r and h reversed ...

    1 = (3h) (r) ^2

    1/3 = h (r) ^2

    1/3 = (r) ^2

    √ (1/3) = r

    h and r are inversely related so tripling h will reduce r by 1/√ (3)
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