Question

In the equation SA = 4πr^2h,

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

Answer 1

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)