Help me figure the surface area of a partial cone please

Click For Summary
SUMMARY

The discussion focuses on calculating the surface area of a partial cone structure, specifically a concrete drainage canal bank where two canals intersect. The user initially attempted to average slant dimensions and the lengths of the top and bottom arcs, but found this method to be inaccurate. They also tried modeling the structure as a trapezoid, which proved to be even less accurate. The key dimensions provided are a horizontal dimension of 32.5 feet and a vertical dimension of approximately 10.5 feet.

PREREQUISITES
  • Understanding of geometric principles related to cones
  • Familiarity with surface area calculations
  • Basic knowledge of trapezoidal geometry
  • Ability to interpret and utilize dimensional measurements
NEXT STEPS
  • Research the formula for the surface area of a frustum of a cone
  • Learn how to apply the Pythagorean theorem in three-dimensional geometry
  • Explore CAD software for accurate geometric modeling
  • Investigate numerical methods for approximating complex surface areas
USEFUL FOR

Engineers, architects, construction professionals, and students studying geometry or civil engineering who need to calculate surface areas of irregular structures.

jonlorio
Messages
2
Reaction score
0
I am trying to measure a concrete structure to compute the surface area.
I have included a sketch of the structure with the dimensions that I have measured. This is part of a drainage canal bank where two canals intersect. The banks along both canals are paved with concrete. I tried to just average the slant dimensions and average the lengths of the top and bottom arcs. Then, I simply multiplied them together to get an area. I feel this is inaccurate. I then tried to stretch it out into a trapezoid, but I feel this is even less accurate. Any help?


001.jpg
 
Physics news on Phys.org
also, the horizontal dimension is 32.5', and vertical dimension from top to bottom is 10.5' roughly...if that helps any.
 

Similar threads

Undergrad Question about Integrals to Determine Volume vs Surface Area
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Deriving the volume and surface area of a cone
  • · Replies 7 ·
Replies
7
Views
9K
Undergrad Why is the Height of Each Cylinder in a Cone dS and not dH?
  • · Replies 5 ·
Replies
5
Views
9K
Undergrad Volume vs. Area of a Surface of Revolution
  • · Replies 7 ·
Replies
7
Views
11K
Graduate Finding surface area of cone in spherical coordinates
  • · Replies 1 ·
Replies
1
Views
11K
Help on Year 11 Volume & Surface Area of Cones Question
  • · Replies 2 ·
Replies
2
Views
2K
MHB Cfm4life's questions at Yahoo Answers regarding surface areas of solids
  • · Replies 1 ·
Replies
1
Views
3K
Finding Surface Area Cone through integration
  • · Replies 1 ·
Replies
1
Views
4K
Surface area of a cone problem
  • · Replies 3 ·
Replies
3
Views
10K
Undergrad Surface Area and Volume Relationships?
  • · Replies 5 ·
Replies
5
Views
16K