Cone (Volume, Surface Area & Slanting Height) Calculator

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
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