Volume of a Cone

Need homework help? Connect with our top Volume of a Cone Experts!

What is a Cone?

A cone is a three-dimensional geometric shape which has a circular base and a single vertex that stretches upwards from the center of the cone’s base. With curved sides, the shape of cones narrows as it stretches upwards to te vertex from the base.

The cone base can be of any size, and the height of the cone is the distance from the base to the vertex. There are different types of cones with different names, based on the shape of their base; like, a cone that has a circular base is called a circular cone, and a cone that has an elliptical base is an elliptical cone.

Cones are usually used to represent objects in the real world; for example, ice cream cones, traffic cones, and party hats. Cones are also significant in mathematics and geometry, and also find many applications in engineering, architecture, and other disciplines.

The formula for the volume of a cone is:

V = (1/3) * pi * r^2 * h

In which, V is the volume of the cone; r is the radius of the cone base; and h is the cone height. 

The value of the mathematical constant pi is approximately equal to 3.14159

To calculate the volume of a cone, you will require the radius of the base and the cone height. The volume is measured in cubic units, that is, cubic inches or cubic centimeters. It depends on the unit of measurement used to calculate the radius and the height.

Let’s say, if the radius of the cone base is 5 inches and the cone height is 10 inches, the cone volume will be:

V = (1/3) * 3.14159 * 5^2 * 10 = (1/3) * 3.14159 * 25 * 10 = 262.83 cubic inches

Most probably, this will help! Now, for more questions, you can contact me here or send your questions to us. We will make sure, to answer your questions at the earliest. 

Browse More Topics

Volume of a Cylinder Surface Area of a Cylinder How to Convert Ounces to Gallons Area of the Triangle Domain and Range Volume of a Sphere Interval Notation Lines, Line Segment and Rays Axis of Symmetry of a Parabola Volume of a Pyramid Surface Area of Pyramid Geometric Series 30-60-90 Triangles Distance Formula Sum and Difference of a Cube Degree to Radian Measure Coplanar Graphic Square Root Functions 45-45-90 Triangle Graphing Cosine Function Surface Area of a Prism Radian to Degree Mean, Median, and Mode Powers of 10 Rounding Decimals Converse Inverse and Contrapositive Surface area of a cone Vertex of a Parabola Surface area of a sphere Decimals Reflections Fractions to Percent One-to-One Function Graphing Logarithmic Functions Quadrilaterals Absolute Value Function Law of Sines Weight Mass Law of Cosines Tangent Function Prime and Composite Number Linear Pair Complementary Angles Supplementary Angles Reflective, Symmetric, and Transitive Properties Rate of Change Volume of a Prism Completing The Square End behavior of Function Vertical Angles

30 minutes Live Session FREE!