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Q. Find the curved surface area of a cylinder with the height and radius 4 CM and 7 CM respectively.

Q. Find the circular surface area of the cylinder when the radius is 14 CM.

Q. Find the circular surface area of the cylinder when the diameter is 7CM.

Q. If the radius of the curved surface area is 6CM and height is 21 CM, find the curved surface area. O. If a diameter of a cylinder is 8 CM and height is 8 CM, Find the total surface area. with solutions.​
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Explanation -:

1) Find the curved surface area of a cylinder with the height and radius 4 CM and 7 CM respectively.

[tex] \underline{\small\bf Solution}[/tex]

In this question we are provided with the radius of a cylinder and a height of the cylinder. We are asked to calculate the curved surface area of the cylinder.

We know,

Curved surface area = 2πrh

Where,

- r stand for radius
- h stand for height
- Assuming π as 3.14

Substituting the values we get

Curved surface area = (2×3.14×4×7)cm²

→Curved surface area = (6.28 × 28) cm²

→Curved surface area= 175.84 cm²

- Hence the curved surface area of the cylinder is 175.84 cm²

2)Find the circular surface area of the cylinder when the radius is 14 CM.

[tex] \underline{\small\bf Solution }[/tex]

In this question we are provided with the radius of the cylinder. We are asked to calculate the area of the cylinder.

We know,

Area of a cylinder = πr²

Where,

- r stand for radius
- Assuming π as 3.14

Area = (3.14 × 14²) cm²

→ Area = 3.14 × 14 × 14

→ Area = 615.44cm²

- Hence the area of the cylinder is 615.44 cm²

3)Find the circular surface area of the cylinder when the diameter is 7CM.

[tex] \underline{\small\bf Solution}[/tex]

In this question we are provided with the diameter of the cylinder. We are asked to calculate the area.

First we will calculate the radius

Radius =Diameter/2

Substituting the values we get

Radius = 7/2 cm

Radius = 3.5 cm

Now we will calculate the area of the cylinder

We know,

Area of thecylinder = πr²

Area = 3.14 × 3.5²

→ Area = 3.14 × 3.5 × 3.5

→ Area = 38.465 cm²

- Hence the area of the cylinder is 38.465 cm².
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