Answer:154 cm²

Step-by-step explanation:

Answer:

Hence, the curved surface area of cylinder is 153.86cm² and the total surface area of cylinder is 93.576cm².

Step-by-step explanation:

As per the data provided in the above given question.

The given data is as follows.

The diameter of a cylinder is 4.9 cm i.e. d=4.9cm.

And the height of a cylinder is 10cm i.e. h=10cm.

We have to find the curved surface area and total surface area of the cylinder.

As we know that,

Radius is half of the length of the diameter.

[tex]Radius= \frac{4.9}{2} \\ =2.45cm[/tex]

Area of curved surface area cylinder =2πrh

Here, we are using the value of π=3.14

Substituting the value of π,r and h.

=2×3.14×2.45×10

We will multiply 2 by 3.14

we get,

=6.28×2.45×10

We will multiply 6.28 by 2.45

=15.38×10

We will multiply 15.38 by 10

=153.86cm²

Curved surface area cylinder = 153.86cm²

Now,

Total surface of area =2π(h+r)

Substituting the value of h and r and we will use π=3.14

=2×3.14×(10+4.9)

We will multiply 2 by 3.14 and also we will add 10 plus 4.9.

=6.28(14.9)

=93.572 cm²

Total surface area of cylinder= 93.572cm².

Hence, the curved surface area of cylinder is 153.86cm² and the total surface area of cylinder is 93.576cm².