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# Radius of Cone Calculator Online

The Radius of Cone Calculator is designed to determine the base radius of a cone when certain measurements are known. It is particularly handy for quick calculations in mathematical and engineering problems, helping professionals and students alike to save time and ensure accuracy.

## Formula of Radius of Cone Calculator

#### Formula Using Volume

To find the radius of a cone’s base using its volume, the following formula is use:

r = sqrt(3V / (pi * h)) Where:

• r is the radius of the cone’s base.
• V is the volume of the cone.
• h is the height of the cone.
• pi is a constant approximately equal to 3.14159.

#### Formula Using Surface Area

To calculate the radius using the surface area of the cone, the formula is:

r = A / (pi * l) Where:

• r is the radius of the cone’s base.
• A is the surface area of the cone.
• l is the slant height of the cone.
• pi is again approximately 3.14159.

## Example of Radius of Cone Calculator

### Scenario:

Calculate the radius of a cone with a volume of 314 cm³ and a height of 10 cm.

### Calculation:

1. Use the formula: r = sqrt(3V / (pi * h))
2. Substitute the values: r = sqrt(3 * 314 / (3.14159 * 10))
3. Simplify the expression: r = sqrt(942 / 31.4159) = sqrt(29.979)
4. Result: r = 5.477 cm

This calculation shows the radius of the cone’s base is approximately 5.477 cm.

## Most Common FAQs

What is the most accurate way to measure the volume of a cone?

To accurately measure the volume of a cone, you need the radius of the base and the height of the cone. The volume is then calculated using the formula V = (1/3) * pi * r^2 * h.

Can this calculator be use for truncated cones?

Yes, the Radius of Cone Calculator can also be adapt to calculate the dimensions of a truncated cone, though the formulas will vary slightly due to the different geometric setup.