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State true/false.

The total surface area of a solid right cylinder of radius $r$ and height $h$ is $2 πr (h + r)$ .

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True

False

answer is A.

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Detailed Solution

Given radius of a right circular cylinder as r and height as h.
Consider the cylinder given below,
Cylinder - Simple English Wikipedia, the free encyclopedia

Cylinder - Simple English Wikipedia, the free encyclopedia

We know the curved surface area for a cylinder is given by,

2 πrh

.
Total surface area = curved surface area + area of the two circular ends

= 2 πrh + 2 π r^{2}

= 2 πr (h + r)

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

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