Find the surface area of the cylinder in terms of pie. 14 cm diameter and 18 cm for the height. π = the number pi (3.1416...)
r = radius is not the correct way to do this problem any help would be great.
answer are
350cm^2 i think this is correct however how do I do the math to get this.
896^2cm2
602cm^2
644 cm^2
Sorry for the typo's guess I need a keyboarding class. Not grasping it at all.
So I need two radius one for the top one for the bottom then 2 heights?
A cylinder usually has the radius at the top and at the bottom. It also has only one height.
https://www.mathsisfun.com/geometry/cylinder.html
Please learn the difference between geometry and geography. Also, learn the difference between pie and pi.
A . = 2 π r h + 2 π r 2 .
To find the surface area of a cylinder in terms of π, you need to calculate the sum of the areas of the curved surface and the two circular bases.
First, let's find the radius (r) of the cylinder. The diameter given is 14 cm, so the radius is half of the diameter, which is 7 cm.
1. Curved Surface Area:
The curved surface area is given by the formula 2πrh, where π is the constant pi (approximately 3.1416) and r is the radius of the cylinder, and h is the height of the cylinder.
Curved Surface Area = 2π * r * h
Curved Surface Area = 2π * 7 cm * 18 cm
2. Base Area:
The base area of a cylinder is given by the formula πr^2, where r is the radius of the cylinder.
Base Area = π * r^2
Base Area = π * (7 cm)^2
3. Total Surface Area:
The total surface area of the cylinder is the sum of the curved surface area and twice the base area.
Total Surface Area = Curved Surface Area + 2 * Base Area
Total Surface Area = (2π * 7 cm * 18 cm) + 2 * (π * (7 cm)^2)
Now, let's calculate:
Total Surface Area = (2 * 3.1416 * 7 cm * 18 cm) + 2 * (3.1416 * (7 cm)^2)
Simplifying the above expression:
Total Surface Area = 132.7344 cm^2 + 615.7523 cm^2
Total Surface Area ≈ 748.4867 cm^2
Therefore, the surface area of the given cylinder is approximately 748.4867 cm^2.