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Total Surface Area of a Cylinder

The ratio of ...

Question

The ratio of height to the base radius of a cylinder is 1:2. The ratio of total surface of cylinder to curved surface of cylinder is:

A

3 : 1

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B

4:3

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C

1: 3

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D

3 : 2

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Solution

The correct option is A
3 : 1

$\frac{T o t a l s u r f a c e o f c y l i n d e r}{C u r v e d s u r f a c e a r e a}$ = $\frac{2 π r h + 2 π r^{2}}{2 π r h}$ = $\frac{1 + (r / h)}{1}$

= $\frac{1 + 2}{1}$ = 3 : 1

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