The volume of a cylinder is the cross-sectional area of the cylinder multiplied by its length.
The perpendicular cross-section of a cylinder is a circle.
Area of a circle = (pi)r2 [Areacircle = pi time the radius squared.] Volume of a cylinder = (pi)r2h [Volumecylinder = pi times the radius squared times the height.] (This applies to a right circular cylinder. :)
pi r^2 h is used to determine the volume of a cylinder because when determing the area of a shape you first have to determine the area of the the base of the object and then multiply it by the height. The base of a cylinder is a circle and to find the area of a circle you use pi r^2 and hence the reason why pi r^2 is used to find the volume of the cylinder.
In both cases, Volume = Length times Cross-sectional area.
The circumference of a circle divided by its diameter is the value of pi and pi has a wide range of uses some of which are:- Finding the volume of a sphere Finding the surface area of a sphere Finding the volume of a cone Finding the volume of a cylinder Finding the area of a circle Finding the circumference of a circle
volume of cylinder pir2h
The formula for area of a circle is radius squared times pi. The formula for volume of a cylinder is radius squared times pi times height.
Yes, a cylinder is a geometric shape.It is related to the circle. A circle has two dimensions, but the cylinder is three-dimensional, having height as well.The volume of a cylinder, for example, is the area of the circle multiplied by the height.
Because the volume of the cylinder is proportional to the cross sectional area of the cylinder. The cross sectional area is a circle and the area of a circle is pi*r2.
The relationship between the formulas is that in all the radius is cubed.
The cone has 1/3 of the volume of the cylinder.
The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height
Divide the volume by the hieght. The result is the area of the circle forming the cylinder. Divide the area of the circle by PI. Multiply by 4 and then take the square-root. This will be the diameter of cylinder.
a cylinder has a ciruclar base. if the circle has a diameter of 12 then the volume would be 7686.72
You cannot have a trapezoidal cylinder. That is like a square circle - an impossible shape.
V= AxH where A is the area of the circle, and H is the height of the cylinder.
The volume of a cylinder is its height times the area of its base. And the area of its base is the area of a circular shape.
Area of a circle: pi*radius2 Circumference of a circle: 2*pi*radius or diamerer*pi Surface area of a sphere: 4*pi*radius2 Volume of a sphere: 4/3*pi*radius3 Volume of a cylinder: pi*radius2*height