Cone

Height :

Slant Height :

Volume :

Surface Area :

Lateral Surface :

Notes
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HISTORY

# Cone (Volume, Surface Area & Slanting Height) Calculator

getcalc.com's circular cone calculator is an online basic geometry tool to calculate volume, surface area, lateral surface & slant height of a cone shape, in both US customary & metric (SI) units.

## Steps to Find Volume, Surface Area, Lateral Surface & Slant Height of a Cone

The step by step workout for how to find what is the volume, surface area, lateral surface and height of a cone. Students may use this cone calculator to generate work with steps for any other similar input values.workout :
step 1 Address the formula, input parmaeters & values
Height = 10 in

step 2 Apply radius and height values in below volume formula
Volume V = πr²h/3
= π x (5)² x 10/3in³
= 3.1416 x (25) x 10/3in³
= 785.398/3in³
Volume V = 261.7994 in³

step 3 Apply radius and height in slant height formula
Slant height L = √(r² + h²) in²
= √(5² + 10²) in²
= √(25 + 100) in²
= √125 in
Slant height h = 11.1803 in

step 4 Find surface area using radius, height and slant height
Surface Area = πr(r + r² + h²)
= πr(r + slant height)
= 3.1416 x 5 (5 + 11.1803) in²
= 3.1416 x 5 x 16.1803 in²
Surface Area = 254.1602 in²

step 5 Find lateral surface area using radius, height, ad slant height
Lateral Surafce Area = π rr² + h²
= π x r x slant height
= 3.1416 x 5 x 11.1803 in²
Lateral Surafce Area = 175.6204 in²

## Cone & Formulas

Cone is a three dimensional plane or geometric shape that generally tapers gradually from the base of circle to the top mid point called the apex. K-12 students may refer the below formulas of cone to know what are all the input parameters are being used to find the volume, surface area, lateral surface and slanting height of cone.

### Problems on Volume, Surface Area & Slanting Height of Cone

Below are the practice problems for grade school students, on finding what is the volume, surface area, slanting height and lateral surface of a cone. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the such values of cone. For any other similar values, use this cone calculator to verify the results.