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unit of measure: the base unit | the supplementary unit | the derived unit

geometry: the area of a flat figure | the area of a solid | the volume of the solid


The area of a truncated cone

Definition:

A truncated cone is a geometrical solid obtained by sectioning a rotating cone with a plane that is parallel to its base.

The area of a truncated cone is the sum of areas of lateral and bases.

The area of a lateral of a truncated cone

Computing relationship:

where:

r1 — the radius of circumference of a lower base;

r2 — the radius of circumference of an upper base;

l — the slant height of a truncated cone.

Calculator: the area of a lateral of a truncated cone


For separation of number integers and decimals, use the symbol – point [.]

the radius of circumference of a lower base — r1

the radius of circumference of an upper base — r2

the slant height of a truncated cone — l

 


the area of a lateral of a truncated cone =

 

Total area of a truncated cone

Computing relationship:

where:

r1 — the radius of circumference of a lower base;

r2 — the radius of circumference of an upper base;

l — the slant height of a truncated cone.

Calculator: total area of a truncated cone


For separation of number integers and decimals, use the symbol – point [.]

the radius of circumference of a lower base — r1

the radius of circumference of an upper base — r2

the slant height of a truncated cone — l

 


the area of a lateral of a truncated cone =

 

 

context information: contemporary and archaic unit of measurement of area