Curved surface area of a cylinder is 2 Trh-

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Total Surface Area of a Cylinder

Curved surfac...

Question

Curved surface area of a cylinder is $2 π r h$ .

True

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False

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Solution

The correct option is A
True

To find the curved surface area of a cylinder, let us take a rectangular paper sheet whose breadth is equal to the height of the container.
Now, wrap the paper around the container such that it will exactly cover the curved surface area of the container.

Now, Curved surface Area of cylinder = Area of rectangle
= length $\times$ breadth
= circumference of circle $\times$ height of cylinder
$= 2 π r \times h = 2 π r h$
Hence, Curved surface area of cylinder = $2 π r h$

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Similar questions

Q. The curved surface area of the cylinder is

2 π r h

where as surface area of the cylinder is

Q. A solid cylinder has a total surface area of

231 {cm}^{2}

. Its curved surface area is

\frac{2}{3}

of the total surface area. Find the volume of the cylinder..

Q. Which is false in case of a hollow cylinder?
(a) Curved surface area of a hollow cylinder = 2πh(R + r).
(b) Total surface area of a hollow cylinder = 2π(R + r)(h + R − r).
(c) Inner curved surface area of a hollow cylinder = 2 πh(R − r).
(d) Area of each end of a hollow cylinder = π(R² − r²).

The total surface area of a cylinder is 462 $c m^{2}$ . Its curved surface area is on third of its total surface area. Find the volume of the cylinder.

The total surface area of a solid cylinder is $231 c m^{2}$ and its curved surface area is $\frac{2}{3}$ of the total surface area. Find the volume of the cylinder.

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Curved surface area of a cylinder is 2πrh.

Curved surface area of a cylinder is $2 π r h$ .