total surface area of righ circular cylinder of hight 1cm and radius 70cm?
the curved surface is just a rectangle of width 2πr=140π and height 1
the top and bottom are circles of area πr^2 = 4900π
So, add it all up.
To find the total surface area of a right circular cylinder, you need to add the curved surface area to the area of the two circular bases.
1. Calculate the curved surface area:
The formula to calculate the curved surface area of a cylinder is given by C = 2πrh, where r is the radius and h is the height.
C = 2 * π * 70 * 1
C = 140π cm²
2. Calculate the area of the circular bases:
The formula to calculate the area of a circle is given by A = πr², where r is the radius.
A = π * (70)²
A = 4900π cm²
3. Add the curved surface area to the area of the two circular bases:
Total Surface Area = Curved Surface Area + 2 * Area of Circular Bases
Total Surface Area = 140π + 2 * 4900π
Total Surface Area = 140π + 9800π
Total Surface Area = 9940π cm²
Therefore, the total surface area of the right circular cylinder with a height of 1 cm and a radius of 70 cm is 9940π cm² or approximately 31253.68 cm².
To find the total surface area of a right circular cylinder, we need to calculate the sum of the areas of its two circular bases and the lateral surface area.
The formula to find the area of a circle is:
A = πr², where A represents the area and r represents the radius.
1. Calculate the area of the circular bases:
The radius of the cylinder's circular base is given as 70 cm.
Using the formula for the area of a circle, we can find the area of one base: A1 = π * (70 cm)².
Since there are two circular bases, the total area of the bases is:
Total base area = 2 * A1.
2. Calculate the lateral surface area:
The height of the cylinder is given as 1 cm. The lateral surface area of a cylinder can be found using the formula:
Lateral surface area = 2πrh, where h represents the height and r represents the radius.
Substituting the given values into the formula, we can calculate the lateral surface area:
Lateral surface area = 2 * π * (70 cm) * (1 cm).
3. Calculate the total surface area:
To find the total surface area, we sum up the areas of the two bases and the lateral surface area:
Total surface area = Total base area + Lateral surface area.
Substituting the calculated values into the formula, we can find the total surface area of the cylinder.