Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.
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Given : Height of cylinder (h) = 7.5 m
Radius of cylinder (r) = 3.5 m
Total Surface Area of cylinder (T.S.A) = 2πr(r + h)
And, Curved surface area of a cylinder (C.S.A) = 2πrh
Now, Ratio between the total surface area of a cylinder to its curved surface area is :
T.S.A/C.S.A = 2πr(r + h)/2πrh
T.S.A/C.S.A = (r + h)/h
T.S.A/C.S.A = (3.5 + 7.5)/7.5
T.S.A/C.S.A = 11/7.5
T.S.A/C.S.A = 22/15
T.S.A : C.S.A = 22 : 15
Hence, the ratio between the total surface area of a cylinder to its curved surface area is 22 : 15.
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