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CSA of cylinder = 2 pie rh
CSA of cone = pie r √h^2 + r^2
CSA of cone/CSA of cylinder = 5/8 = √h^2 +r^2)/ 2h
10 h = 8√h^2 +r^2.
squaring
100 h^2 = 64 (h^2 + r^2)
100/64 = 1 + (r/h)^2
100/64 -1 = (r/h)^2
36/64 = (r/h)^2
3/4 = r/h
CSA of cone = pie r √h^2 + r^2
CSA of cone/CSA of cylinder = 5/8 = √h^2 +r^2)/ 2h
10 h = 8√h^2 +r^2.
squaring
100 h^2 = 64 (h^2 + r^2)
100/64 = 1 + (r/h)^2
100/64 -1 = (r/h)^2
36/64 = (r/h)^2
3/4 = r/h
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