What is the surface area of a right circular cylinder with base circle of radius of 5m and height of the cylinder 10m?
http://math.about.com/library/blmeasurement.htm
Ms. Sue I got 100pi, is this correct?
I don't think so.
I'm also getting 100pi
To find the surface area of a right circular cylinder, you need to calculate the areas of the curved surface (lateral surface area) and the two circular bases.
First, let's find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh
where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the base circle
- h is the height of the cylinder
In this case, the radius (r) is given as 5m and the height (h) is given as 10m. Substituting these values into the formula, we have:
Lateral Surface Area = 2π(5m)(10m)
Calculate the value of 2π(5m)(10m) to find the lateral surface area.
Next, let's find the area of the two circular bases of the cylinder. The formula for the area of a circle is given by:
Area of a Circle = πr^2
where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the circle
In this case, the radius (r) is given as 5m. Substituting this value into the formula, we have:
Area of a Circle = π(5m)^2
Calculate the value of π(5m)^2 to find the area of one circular base. Since there are two circular bases, multiply this value by 2 to find the total area of the bases.
Finally, add the lateral surface area to the total area of the bases to get the surface area of the right circular cylinder.
I will now calculate the surface area of the right circular cylinder for you.