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aniked [119]
3 years ago
15

A right cylinder has a radius of 3 and a height of 12. what is its surface area?

Mathematics
2 answers:
tester [92]3 years ago
8 0

The surface area is 90pi

Katarina [22]3 years ago
3 0

Answer:

Surface area of cylinder = 282 .6 square units.

Step-by-step explanation:

Given : A right cylinder has a radius of 3 and a height of 12.

To find : what is its surface area

Solution : We have given that  radius =  3

Height = 12.

Surface area of cylinder =  2πr ( r +h)

Surface area of cylinder =  2 *3.14 * 3 ( 3 +12)

                                        = 18.84 (15)

Surface area of cylinder = 282 .6 square units.

Therefore, Surface area of cylinder = 282 .6 square units.

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<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
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\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


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