Write the ratio of total surface area to the curved surface area of a cylinder of radius r and height h.
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Total surface area of a cylinder, T.S.A = 2πr(h + r)
curved surface area of a cylinder , C.S.A = 2πrh
Ratio of total surface area to the curved surface area of a cylinder :
T.S.A / C.S.A = 2πr(h + r)/2πrh
T.S.A / C.S.A = (h + r) / h
T.S.A : C.S.A = (h + r) : h
Hence, the ratio of total surface area to the curved surface area of a cylinder is (h + r) : h .
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