Hi! What is the formula of the volume and surface area of cylinders? I checked my textbook and it didn't really say. My teacher didn't really explain at all. If somebody could help explain this it would be really great.
Please help!
Thank you!
http://math.about.com/od/formulas/ss/surfaceareavol_3.htm
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
thank you!
You're welcome.
Of course! I'd be happy to help explain the formulas for the volume and surface area of cylinders.
To start, let's discuss the formula for the volume of a cylinder. The volume of a cylinder can be found using the formula:
V = πr²h
where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.
To find the volume, you need to know the radius and height of the cylinder. First, square the radius by multiplying it by itself, and then multiply the squared radius by the height. Finally, multiply the result by π to get the volume.
Now, let's move on to the formula for the surface area of a cylinder. The surface area of a cylinder consists of three parts: the areas of the two circular bases and the area of the curved side.
The formula for the surface area of a cylinder is:
A = 2πr² + 2πrh
where A represents the surface area, π is the mathematical constant approximately equal to 3.14159, r is the radius of the circular base of the cylinder, and h is the height of the cylinder.
To find the surface area, multiply the area of each circular base (2πr²) by 2, and then add the product of the circumference of the circular base (2πr) and the height of the cylinder (h).
I hope this explanation helps! Let me know if you have any further questions.