The ratio between the CSA and TSA of a right circular cylinder is 1:2. Find the ratio between the radius and height of the cylinder.
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TSA = 2 π r ( r + h)
CSA = 2 π r h
∴ CSA / TSA = 2 π r h / 2 π r ( r + h)
⇒ ½ = h / ( r + h )
2h = r + h
h = r
⇒ h : r = 1 : 1
CSA = 2 π r h
∴ CSA / TSA = 2 π r h / 2 π r ( r + h)
⇒ ½ = h / ( r + h )
2h = r + h
h = r
⇒ h : r = 1 : 1
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