surface area of a cylinder with a radius of 7 and a height of 14 explain step by step in simple terms
To calculate the surface area of a cylinder, you need to find the sum of the areas of the two circular bases and the lateral surface area.
1. Calculate the area of one circular base:
The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the radius is 7, so the area of one circular base is:
A1 = π(7^2) = π(49) = 49π
2. Calculate the lateral surface area:
The lateral surface area of a cylinder is given by the formula A = 2πrh, where r is the radius and h is the height. Plug in the values for radius (7) and height (14):
A2 = 2π(7)(14) = 196π
3. Add the areas of the two circular bases and the lateral surface area to find the total surface area:
Total surface area = 2A1 + A2
Total surface area = 2(49π) + 196π
Total surface area = 98π + 196π
Total surface area = 294π
Therefore, the surface area of a cylinder with a radius of 7 and a height of 14 is 294π square units.