Question

2. Find the total surface area of cylinder whose radius is 4.2 cm and height 30 cm .​

Answer 1

Answer:

Hence the total surface area of cylinder is $902.88cm^{2}$

Step-by-step explanation:

As per the provided data in the given question,

The given data is as follows.

The radius of cylinder (r) is 4.2cm,

The height of cylinder (h) is 30cm.

We have to find the total surface area of cylinder.

We will use the formula of total surface area of cylinder

Total surface area of cylinder $= 2\pi rh+2\pi r^{2}$

We are substituting  the values in above equation

Thus, we know that value of $\pi$ is $\frac{22}{7}$

$=2\times\frac{22}{7}\times4.2\times30+2\times\frac{22}{7}\times4.2^{2}$

Squaring a term is to multiply by itself,

$4.2^{2}=4.2\times4.2$

Also, we will divide 4.2 by 7 get 0.6.

$=2\times22\times0.6\times30+2\times22\times0.6\times4.2$

Now we will multiply the above value

$=44\times 0.6\times 30+44\times 0.6\times 4.2\\=44\times 18+44\times 2.52$

$=792+110.88$

Then we will adding the above value we get,

$=902.88cm^{2}$

Hence the total surface area of cylinder is $902.88cm^{2}$