# Area, Volume & Slanting Height of Cone Calculator

Height
Unit
Volume  =  261.7994in³ GENERATE WORK

## Area, Volume & Slanting Height of Cone - work with steps

Input Data :
Height = 10 in

Objective :
Find what is volume of the Cone for given input data?

Formula :
Volume = πr2h3

Solution :
Volume = 3.1416 x 52 x 103
= 3.1416 x 25 x 103
= 785.39823
Volume = 261.7994 in³

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. ### 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 cm100 mm = 3.93 in1000 mm = 3.28 ft1000 mm = 1 m 1 cm = 10 mm10 cm = 3.93 in100 cm = 3.28 ft100 cm = 1 m 1 ft = 3048 mm1 ft = 304.8 cm1 ft = 12 in10 ft = 3.048 m 1 in = 25.4 mm1 in = 2.54 cm100 in = 8.33 ft100 in = 2.54 m

In the field of geometry calculations, finding the area, volume & slanting height of a cone is very important to understand a part of basic mathematics. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate area, volume & slanting height of a cone manually, however, when it comes to online to perform quick calculations, this cone calculator may be useful to find the results.