Area and Volume of a Cone


Instructions: Use this Area and Volume of a Cone Calculator by entering the radius rr and the height hh of a cone and the units (cm, mt, ft, etc) and the solver will compute the corresponding area and volume of the given cone.


Type the radius of the cone rr =


Type the height of the cone hh =


How to Compute the Surface Area and Volume of a Cone?

This volume of a cone calculator with steps will do the calculation for you. In order to compute the area and volume of a right circular cone of radius rr and height hh we use the following formulas:

Area=πr(r+h2+r2) \text{Area} = \pi r (r + \sqrt{h^2 + r^2}) Volume=r2hπ3 \text{Volume} = \frac{r^2 h\pi}{3}

Computationally speaking, it is fairly simple to compute the area and the volume of a cone, by simply plugging the radius rr and height hh in the above formulas. For example, if the radius is r=3r = 3 and the height is h=4h = 4, we compute

Area=πr(r+h2+r2)=3π(3+42+32)=24π \text{Area} = \pi r (r + \sqrt{h^2 + r^2}) = 3\pi (3 + \sqrt{4^2 + 3^2}) = 24\pi Volume=r2hπ3=324π3=12π \text{Volume} = \frac{r^2 h\pi}{3} = \frac{3^2\cdot 4 \pi}{3} = 12\pi

which completes the calculation.

How to deal with other shapes?

Each geometric type of shape will have a specific treatment. You can try our cube calculator to get the surface area and volume of a cube, among many other shapes

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