The geometry in mathematics explains the points that relate to lines, parallel lines, triangles, trigonometry, quadrilaterals, similarity, angles, circles, areas and transformation. These points help in understanding the geometry. The cone volume and cylinder are basically these terms that have three dimensional solids. The volume of the cone and cylinder has identical bases and heights which are proportional to each other. The three dimensional shapes, faces and edges of the shapes could be easily understood. In this article you will be able to learn the volume of cones and cylinders in mathematics. This study will help you to find the cone volume and cylinder volume, their importance and findings in mathematics.
What is cone volume?
The 3D shape with two faces and one edge geometrical shape with circular base known as the cone. You can say as the pyramid that has a circular base. The cone volume is the three dimensional shape that has equal amount of space which occupied by the shape. In simple words it is the volume of the cone which is equal to the one third volume of the cylinder. The volume of the cylinder has the same height and base radius.
The volume of a cone defined as the capacity of the cone. It is formed by the lines connected to the common points, half lines and the set of line segments.
Cone volume formula
Mentioned earlier the cone is the pyramid that has a circular base or cross section. The volume of a cone can be easily found if the right circular cone evaluated. A right cone is the cone that has a vertex above the centre of the cone base. So the volume can easily found when you have found out the measurements of the cone height and radius.
The mathematical expression of the volume of a cone is as:
Volume of a cone = V= ( 1/3 ) π × r × 2h cubic units
The whole description of this volume of a cone formula is as follows;
V = V is the volume of the cone
r = r is the base radius of the cone
l = I is the slant height of a cone
h = h is the height of the cone
π = π is the ratio of the circumference of any circle to the diameter of that circle and its value that used in this formula is 3.14
You can also find cone volume easily by using a cone volume calculator to find the volume easily within seconds for free.
What is a cylinder volume?
In mathematics the cylinder is a three dimensional solid figure or a type of prism. It contains two edges and three faces along two parallel circular bases that joined by the curved surfaces at the points which are particularly distant from the center. Next moving towards the cylinder volume which elaborated as the cylinder volume is defined as the amount of space in the cylinder. It can be acquired by the multiplication of cylinders base area by its height. In other words the volume of a cylinder manifests the amount of material that a cylinder can carry. The other step that has the possibility of how much quantity of the material can be occupied in it or cylinder.
Cylinder volume formula
Geometrically the cylinder is as referred to the prism with the circle as its base. The process that helps in finding the volume of the cylinder is to first calculate the radius of the circle and height of the cylinder. In order to find the volume of the cylinder it must be multiplied the values of radius and height of the cylinder together. The mathematical representation of the formula of the volume cylinder can be written as:
Volume of cylinder= V= π × r² × h cubic units
The description of the volume cylinder formula can be as follows:
V = V is the volume of cylinder
r = r is the radius of the circle
h = h is the height of the cylinder
π = π is the ratio of the circumference of any circle to the diameter of that circle and its value that used in this formula is 3.14
The answer of volume of the cylinder is as written in the cubic units3 because the standardized unit for volume cylinder measurement is cubic unit. The most precise value of the pi ( π ) is 3.14 in calculation, otherwise the scientific calculator has a π button for easily accessing the value in calculation. To make your calculations more easy you can also use a cylinder volume calculator for free.
