Find the curved surface area of cylinder of diameter 6 cm and height 4 cm
To find the curved surface area of a cylinder, you need to know its diameter and height. The formula for the curved surface area of a cylinder is:
CSA = 2πrh
Where CSA represents the curved surface area, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, you're given the diameter, which is 6 cm. To find the radius, you divide the diameter by 2:
radius = diameter / 2 = 6 cm / 2 = 3 cm
Now that you have the radius, which is 3 cm, and the height, which is 4 cm, you can substitute these values into the formula to find the curved surface area:
CSA = 2πrh
= 2 * 3.14159 * 3 cm * 4 cm
≈ 75.398 cm²
Therefore, the curved surface area of the given cylinder is approximately 75.398 cm².
If you roll out the surface, it's just a rectangle, with length the circumference of the base, and height.
A = πdh
now just plug in your numbers