homechevron_rightProfessionalchevron_rightEngineering

Spherical cap and spherical segment

This calculator computes volume and surface area of spherical cap and spherical segment

Spherical cap
Spherical cap
Spherical cap
Spherical cap


A spherical cap is the region of a sphere which lies above (or below) a given plane. If the plane passes through the center of the sphere, the cap is a called a hemisphere.

Formulae:
S_{lateral}=2 \pi R H - lateral surface area
S_{base}=\pi{H}(2R-H) - base surface area
V=\pi H^2(R- \frac{1} {3} H) - volume

PLANETCALC, Spherical cap

Spherical cap

Digits after the decimal point: 5
Lateral surface area
 
Base surface area
 
Surface area
 
Volume
 
Save the calculation to reuse next time, to extension embed in your website or share share with friends.



spherical segment
spherical segment


spherical segment
spherical segment

A spherical segment is the solid defined by cutting a sphere with a pair of parallel planes. It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum.

Formulae:
S_{lateral}=2 \pi R (H_2-H_1) - lateral surface area
V = \pi \left[ H_2^2 \left( R - \frac{1} {3} H_2 \right) - H_1^2 \left( R - \frac{1} {3} H_1 \right) \right] - volume

PLANETCALC, Spherical segment

Spherical segment

Digits after the decimal point: 5
Lateral surface area
 
Surface area
 
Volume
 
Save the calculation to reuse next time, to extension embed in your website or share share with friends.

Comments