Calculate the total surface area of a closed cylinder with base radius 31/2cm and height 5cm (take =22/7)
The total surface area of a closed cylinder can be calculated by adding the areas of the two circular bases and the lateral surface area.
1) Area of the circular base:
The formula for the area of a circle is A = π*r^2, where r is the radius.
Given that the base radius is 31/2 cm, the area of one circular base is:
A1 = (22/7) * (31/2)^2
2) Area of the other circular base:
Since the other base has the same radius as the first base, its area is also A1.
3) Lateral surface area:
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
Given that the radius is 31/2 cm and the height is 5 cm, the lateral surface area is:
A2 = 2 * (22/7) * (31/2) * 5
Now, we can calculate the total surface area by adding all these areas:
Total surface area = A1 + A1 + A2
Total surface area = 2 * A1 + A2