# Cone Volume Calculator

Volume of a Cone formula = 1/3 * Πr^{2}h

## Choose the shape you want to calculate the volume of:

## Cone Volume Calculator

Discover the simplicity of calculating the volume of a cone with our user-friendly Cone Volume Calculator.

#### Understanding Cone Volume

The volume of a cone is given by the formula:

\[ \text{Volume} = \frac{1}{3} \pi r^2 h \]

#### Applications

- Mathematics and Geometry
- Engineering
- Architecture
- Education

## Frequently Asked Questions

#### How do you find the volume of a cone?

To find the volume of a cone, use the formula \( V = \frac{1}{3} \pi r^2 h \), where \( r \) is the radius of the base, and \( h \) is the height of the cone.

#### What is the formula for volume of a normal cone?

The volume formula for a regular (right circular) cone is \( V = \frac{1}{3} \pi r^2 h \).

#### What is the volume of a half cone?

The volume of a half cone is half the volume of a full cone, calculated as \( V = \frac{1}{6} \pi r^2 h \).

#### What is the cubic feet of a cone?

To determine the volume in cubic feet, apply the cone volume formula with the dimensions (radius and height) measured in feet.

#### What is the area and volume of a cone?

The surface area of a cone is given by \( A = \pi r (r + l) \), where \( l \) is the slant height, and its volume is \( V = \frac{1}{3} \pi r^2 h \).

#### What is the formula for volume?

The general formula for volume depends on the shape; for a cone, it's \( V = \frac{1}{3} \pi r^2 h \).

#### What is the CSA of a cone?

The Curved Surface Area (CSA) of a cone is the area of its curved (lateral) surface, calculated as \( A = \pi r l \), excluding the base.

#### What is the volume of cone and cylinder?

For a cone: \( V_{cone} = \frac{1}{3} \pi r^2 h \), and for a cylinder: \( V_{cylinder} = \pi r^2 h \).

#### What is the volume of frustum?

The volume of a frustum is \( V = \frac{1}{3} \pi h (r_1^2 + r_2^2 + r_1 r_2) \), where \( r_1 \) and \( r_2 \) are the radii of the two bases, and \( h \) is the height.

#### What is a formula for cylinder?

The volume formula for a cylinder is \( V = \pi r^2 h \).

#### How to find radius?

To find the radius of a cone when you know the volume and height, rearrange the volume formula to \( r = \sqrt{\frac{3V}{\pi h}} \).

#### What is the formula for slant height?

The slant height of a cone can be calculated using the Pythagorean theorem as \( l = \sqrt{r^2 + h^2} \), where \( r \) is the radius and \( h \) is the height.

#### What is CFT formula?

CFT, or cubic feet, is a volume measurement. The formula to calculate cubic feet for a cone is \( CFT = \frac{1}{3} \pi r^2 h \), with dimensions in feet.

#### What is cone size?

The size of a cone can be described by its radius and height. The slant height and base circumference also provide size information.

#### How to calculate square feet?

To calculate square feet, measure the length and width in feet of the area and multiply them together. For the base of a cone, use \( Area = \pi r^2 \) with dimensions in feet.