# How to Calculate Spherical Cap Volume, Lateral and Total Surface Area - Example

## How to Calculate Spherical Cap Volume, Lateral and Total Surface Area - Formula

#### Definition:

Spherical cap is the section of a sphere detached by a plane. This tutorial explains you how to calculate the Volume, Lateral and Total Surface Area of a plane.

#### Formula : #### Example:

If the height of a plane is 4 meter and radius is 3 , then find the Volume, lateral and total surface area of a plane.

Height= 4 meter

#### To Find,

Volume, lateral and total surface area of the plane

#### Solution:

Substitute the given values in the formula to find the volume,

 Volume =3.14*4*4*(3-4/3) =3.14*16*(3-4/3) =83.73 Meter3

Substitute the given values in the formula to find the lateral surface area,

 Lateral surface area =2*3.14*3*4 =2*37.68 =75.36 Meter2

Substitute the given values in the formula to find the total surface area,

 Circumference =2(sqr(4*(2*3-4)))=2(sqr(8))=5.64 Total surface area =2*3.14((5.64*5.64)+(2*4*4)) =2*3.14(63.8) =401.92 Meter2