# Cone Volume, Surface Area, Lateral Surface & Slant Height Calculator

getcalc.com's **Circular Cone Formulas & 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 area and height of a cone.__workout :__

step 1 Address the formula, input parmaeters & values

Radius = 5 in

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 r√r² + h²

= π x r x slant height

= 3.1416 x 5 x 11.1803 in²

Lateral Surafce Area = 175.6204 in²

## Definition & 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.