what is the surface area of a cylinder with a diameter of 4cm and height of 6 cm? include the areas of the ends

A can with a diameter of 4cm and a height of 6cm

To find the surface area of a cylinder, you need to sum the areas of the curved surface and the two ends.

First, let's calculate the area of the curved surface. The curved surface area of a cylinder is given by the formula: A_curved = 2πrh, where r is the radius and h is the height.

The diameter of the cylinder is given as 4 cm, so the radius (r) is half of the diameter, which is 4/2 = 2 cm.
The height (h) is given as 6 cm.

Now we can calculate the curved surface area:
A_curved = 2 * π * r * h
= 2 * 3.14 * 2 * 6
= 75.36 cm²

Next, let's calculate the area of each end of the cylinder. The area of a circle is given by the formula: A_circle = πr², where r is the radius.

The radius (r) is 2 cm. So, we can calculate the area of one end:
A_end = π * r²
= 3.14 * 2²
= 12.56 cm²

Since there are two ends, their total area will be:
Total end area = 2 * A_end
= 2 * 12.56
= 25.12 cm²

To get the total surface area, you add the curved surface area and the total end area:
Total surface area = A_curved + Total end area
= 75.36 + 25.12
= 100.48 cm²

Therefore, the surface area of the given cylinder is 100.48 cm², including the areas of the ends.

Find the curved surface area of cylinder of diameter 6cm and height 4cm

A=2πrh+2πr^2

A = (2 * 3.14 * 2 * 6) + (2 * 3.14 * 2 * 2)