State true or false.

If the ratio between the curved surface area and the total surface area of a right circular cylinder is 1: 2, then radius is equal to height.

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True

False

answer is A.

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Detailed Solution

It is given the ratio between the curved surface area and the total surface area of a right circular cylinder is 1: 2.
Let the radius of the cylinder be `r’ and the height of cylinder be `h’.

T h e c u r v e d s u r f a c e a r e a o f c y l i n d e r T o t a l s u r f a c e a r e a o f t h e c y l i n d e r = 12

⇒ 2 π r h 2 π r h + r = 12

⇒ 2 h = h + r

⇒ h = r

⇒

Height = Radius
Therefore, the given statement is true.
Hence option (1) is correct.

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