Question

the circumference of the base of a cylinder is 176 cm and its height is 65 cm find the lateral surface area

Answer 1

HELLO DEAR,


.Given circumference of the base of cylinder = 176 cm
That is 2πr = 176
height of cylinder, h = 65 cm
LSA of cylinder =  2πrh 
                         = 176 x 65
                         = 11440 cu cm



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Answer 2

Lateral surface area of the cylinder = 11440 $cm^{2}$.

Here, according to the given information, we are given that,

The circumference of the base of a cylinder is 176 cm and its height is 65 cm.

We need to find the lateral surface area of the given cylinder which has the circumference of the base of a cylinder as 176 cm and its height as 65 cm.

Now, in order to find the lateral surface area of the given cylinder, we need to find out the radius of the cylinder.

In order to find the radius of the cylinder, we need to utilize the circumference of the cylinder.

Now, the circumference of the cylinder = $2\pi r$, where r is the radius of the cylinder.

Now, $176=2\pi r$

Or, $r = \frac{176}{2\pi } = \frac{88}{\pi }$

Now, the lateral surface are of a cylinder has a formula that is,

$2\pi rh$, where h is the height of the cylinder.

Then, putting the values in the above formula, we get,

Lateral surface area of the cylinder = $2\pi .\frac{88}{\pi } .65$ = 11440 $cm^{2}$.

Hence, the lateral surface area of the cylinder = 11440 $cm^{2}$.

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