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Cone - Frustum Surface Area (total)

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Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Sep 30, 2014, 1:39:59 PM
SA=π((a+b)h2+(b-a)2+a2+b2)
(a)top radius
(b)bottom radius
(h)height
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43aa3476-48a7-11e4-a9fb-bc764e2038f2

The Total Surface Area of the Frustum of a Cone calculator computes/attachments/43aa3476-48a7-11e4-a9fb-bc764e2038f2/cone - frustum (total).png the total surface area of the frustum of a right circular cone, where the frustum is defined by base radius (a) and top radius (b) and height (h) in between.  The surface area in this formula includes the lateral surface area (sloped sides) and the top and bottom circular areas. 

INSTRUCTIONS: Choose your preferred length units and enter the following:

  • (a) Radius of the top of the cone frustum
  • (b) Radius of the bottom of the cone 
  • (h) Height of the cone frustum

Surface Area: The calculator returns the total surface area (SA) in square meters.  However, this can be automatically converted to other area units (e.g. square centimeters or square inches) via the pull-down menu.

Cone Calculators

  1. Surface Area:  cone surface area based on cone height and cone base radius
  2. Volume: cone volume based on cone height and cone base radius
  3. Mass: cone mass or weight as a function of the volume and mean density
  4. Frustum Surface Area: cone frustum surface area based on the two heights and two radii
  5. Frustum Volume: cone frustum volume based on the two heights and two radii 
  6. Frustum Mass: cone frustum weight or mass based on the cone frustum volume and mean density
  7. Shell Volume: cone shell volume a.k.a. hollow cone volume
  8. Shell Mass: cone shell mass or weight a.k.a. hollow cone mass.
  9. Compute the total surface are of the frustum of a cone:  This includes the top and bottom surfaces.
  10. Compute the lateral surface area (using L) of the frustum of a cone

This equation, Cone - Frustum Surface Area (total), is used in 2 pages
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