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<h3>Explanation -:</h3>
1) <u>Find </u><u>the </u><u>curved </u><u>surface area of a cylinder with the height and radius 4 CM and 7 CM respectively. </u>
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,
<u>Curved surface area = 2πrh</u>
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) <u>Find the circular surface area of the cylinder when the radius is 14 CM. </u>
In this question we are provided with the radius of the cylinder. We are asked to calculate the area of the cylinder.
We know,
<u>Area </u><u>of </u><u>a </u><u>cylinder</u><u> = πr²</u>
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) <u>Find the circular surface area of the cylinder when the diameter is 7CM. </u>
In this question we are provided with the diameter of the cylinder. We are asked to calculate the area.
<u>First </u><u>we </u><u>will </u><u>calculate </u><u>the </u><u>radius</u>
<u>Radius = Diameter/ 2 </u>
Substituting the values we get
Radius = 7/2 cm
Radius = 3.5 cm
<u>Now </u><u>we </u><u>will </u><u>calculate </u><u>the </u><u>area </u><u>of </u><u>the </u><u>cylinder</u>
We know,
<u>Area of</u><u> the</u><u> </u><u>cylinder</u><u> = πr²</u>
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.