what is the surface area of a cylinder with a radius of 2 units and a height of 22 units
You'll find the formula in the link I just posted for you.
I'll be glad to check your answer.
surface area is 2 pi r^2 + 2 pi rh. therefore
2x(3.14)x(4) + 2x(3.14)x2(22)= 301.71 units. is this answer correct ms sue
I got a slightly different answer.
25.12 + 276.32 = 30.44 square units.
i think you made a mistake ms sue the and is 301.44 not 30.44 as you stated
To find the surface area of a cylinder, you need to calculate the curved surface area and the area of the two bases, and then add them together.
1. Calculate the curved surface area (CSA) of the cylinder:
The formula for the curved surface area of a cylinder is given by: CSA = 2πrh, where r is the radius and h is the height.
Given:
Radius (r) = 2 units
Height (h) = 22 units
CSA = 2 × π × r × h
= 2 × 3.14 × 2 × 22
= 87.92 square units
2. Calculate the area of the two bases:
The formula for the area of a circle is given by: A = πr^2, where r is the radius.
Given:
Radius (r) = 2 units
Area of one base = π × r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56 square units
Since there are two bases in a cylinder, the total area of the two bases is 2 × 12.56 = 25.12 square units.
3. Calculate the total surface area (TSA) by adding the curved surface area and the area of the two bases:
TSA = CSA + 2 × base area
= 87.92 + 25.12
= 113.04 square units
Therefore, the surface area of a cylinder with a radius of 2 units and a height of 22 units is 113.04 square units.