Find the surface area of the cylinder radius=1
hieght=8
The cylinder itself is 2PI*r*h
each end is PI*r^2, if you need that also.
can you u give me a little more...
To find the surface area of a cylinder, you need to add the areas of the two bases and the lateral surface area.
Let's start by finding the area of the base. The base of a cylinder is a circle, and its area can be calculated using the formula A = πr², where A is the area and r is the radius.
Given that the radius of the cylinder is 1, we can calculate the area of one base using the formula A = π(1)² = π.
Since there are two identical bases, we need to multiply the area of one base by 2 to get the total base area, which is 2π.
Next, let's find the lateral surface area of the cylinder. The lateral surface of a cylinder is essentially a rectangle that has been wrapped around the curved surface. The height of the rectangle is equal to the height of the cylinder, and the width of the rectangle is equal to the circumference of one of the bases.
The circumference of the base of the cylinder can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. Given that the radius is 1, the circumference of one base is 2π(1) = 2π.
Now, we can calculate the area of the lateral surface. The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width.
In this case, the length of the rectangle is equal to the height of the cylinder, which is given as 8. The width of the rectangle is equal to the circumference of one base, which we found to be 2π.
Therefore, the area of the lateral surface is A = 8 * 2π = 16π.
Finally, to find the total surface area of the cylinder, we add the base area and the lateral surface area:
Total Surface Area = 2π + 16π = 18π
So, the surface area of the cylinder with a radius of 1 and a height of 8 is 18π.