Cone Calculator & Formulas



Cone Area, Volume & Slant Height Calculation



Unit
Print
Result:
Cubic Unit
Square Unit
Unit

cone calculator - step by step calculation, formulas & solved example problem to find the area, volume & slanting height of a cone for the given values base radius & height in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, cone is a solid or hollow object with a round flat base and sides that slope up to a top point. The cone formulas, solved example & step by step calculations may useful for users to understand how the input values are being used in such calculations. Also this featured cone calculator uses the various conversion functions to find its area, volume & slant height in SI or metric or US customary units.

Cone & its Formulas

The following mathematical formulas are used in this cone calculator to find the area, volume & slanting height of a cone.

formula to find cone area, volume & slanting height

Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the area, volume & slanting height of a right circular cone.

Example Problem :
Find the area, volume & slanting height of a right circular cone having the base radius & height of 15 cm & 7 cm respectively?

Solution :
The given values
base radius r = 15 cm
height h = 7 cm

Step by step calculation
formula to find area = πr[r + √(r2 + h2)]
substitute the values
= π x 15 x [15 + √(152 + 72)]
= 1487.49 cm2

formula to find volume = (1/3) π r2 h
substitute the values
= (1/3) x π x 152 x 7
= 1650 cm3

The area, volume & slanting height of a cone may required to be calculated in SI or metric or US customary unit systems, therefore this cone calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

10 mm = 1 cm
100 mm = 3.93 in
1000 mm = 3.28 ft
1000 mm = 1 m
1 cm = 10 mm
10 cm = 3.93 in
100 cm = 3.28 ft
100 cm = 1 m
1 ft = 3048 mm
1 ft = 304.8 cm
1 ft = 12 in
10 ft = 3.048 m
1 in = 25.4 mm
1 in = 2.54 cm
100 in = 8.33 ft
100 in = 2.54 m



Similar Resource
 How to Calculate Cone Area Volume
 Trigonometry Formulas Worksheet
 Statistics Formulas Cheat Sheet