Revolved surface in Solidworks - Cell-by-Cell Formula Trace

Sample Data

This data represents the dimensions of a 2D profile and the angle of revolution to create a revolved surface in SolidWorks. The goal is to calculate the surface area and volume of the revolved shape.

Cell	Value
A1	Profile Height
B1	10
A2	Profile Width
B2	5
A3	Revolve Angle (degrees)
B3	180
A4	Surface Area
B4
A5	Volume
B5

Formula Trace

Surface Area = 2 * PI() * (Profile Width / 2) * Profile Height * (Revolve Angle / 360) Volume = PI() * (Profile Width / 2)^2 * Profile Height * (Revolve Angle / 360)

Step 1: Profile Width / 2

Step 2: Revolve Angle / 360

Step 3: Surface Area = 2 * PI() * 2.5 * 10 * 0.5

Step 4: Volume = PI() * (2.5)^2 * 10 * 0.5

Cell Reference Map

    A           B
1 | Profile Height | 10
2 | Profile Width  | 5
3 | Revolve Angle | 180
4 | Surface Area  | 
5 | Volume        | 

References: B1 (Height), B2 (Width), B3 (Angle) feed into formulas in B4 and B5.

Cells B1, B2, and B3 provide input values for the formulas calculating surface area and volume in cells B4 and B5.

Result

    A           B
1 | Profile Height | 10
2 | Profile Width  | 5
3 | Revolve Angle | 180
4 | Surface Area  | 78.54
5 | Volume        | 130.90

The surface area and volume are calculated for a half-circle revolution of the profile.

The final results show the surface area and volume of the revolved surface based on the input dimensions and revolve angle.

Sheet Trace Quiz - 3 Questions

What is the radius used in the surface area calculation?

A 5

B 10

C 2.5

D 180

Key Result

Surface area and volume of a revolved surface are calculated using radius, height, and fraction of revolution angle.

Practice

1. What is the main purpose of a Revolved Surface in SolidWorks?

easy

A. To create a 3D shape by spinning a 2D sketch around an axis

B. To extrude a 2D sketch in a straight line

C. To cut a hole through a solid body

D. To mirror a part across a plane

Solution

1. Step 1: Understand the Revolved Surface concept

   A revolved surface is created by rotating a 2D profile around a fixed axis.

2. Step 2: Compare with other features

   Extrusion extends a sketch linearly, cutting removes material, mirroring duplicates. Only revolving spins the sketch.

3. Final Answer:

   To create a 3D shape by spinning a 2D sketch around an axis -> Option A

4. Quick Check:

   Revolve = spin sketch around axis [OK]

Hint: Revolve means spin a sketch around an axis [OK]

Common Mistakes:

• Confusing revolve with extrusion
• Thinking revolve cuts material
• Mixing revolve with mirroring

2. Which of the following is the correct syntax to create a revolved surface in SolidWorks using the API method CreateRevolvedSurface?

easy

A. CreateRevolvedSurface(axisLine, profileSketch, angle)

B. CreateRevolvedSurface(profileSketch, axisLine, angle)

C. CreateRevolvedSurface(profileSketch, angle, axisLine)

D. CreateRevolvedSurface(angle, profileSketch, axisLine)

Solution

1. Step 1: Identify parameter order in API

   The method requires the profile sketch first, then the axis line, then the angle of revolution.

2. Step 2: Match parameters to options

   Only CreateRevolvedSurface(profileSketch, axisLine, angle) follows the correct order: profileSketch, axisLine, angle.

3. Final Answer:

   CreateRevolvedSurface(profileSketch, axisLine, angle) -> Option B

4. Quick Check:

   Profile, Axis, Angle order [OK]

Hint: Remember: Profile first, then axis, then angle [OK]

Common Mistakes:

• Swapping axis and profile parameters
• Putting angle before axis
• Incorrect parameter order causing errors

3. Given a 2D sketch of a semicircle and an axis line, what will be the shape created by revolving the sketch 360 degrees around the axis?

medium

A. A hollow cylinder

B. A solid hemisphere

C. A torus (doughnut shape)

D. A sphere

Solution

1. Step 1: Understand the semicircle revolution

   Revolving a semicircle 360 degrees around its diameter axis creates a full sphere.

2. Step 2: Eliminate other shapes

   A hollow cylinder needs a rectangle, a torus needs a circle offset from axis, hemisphere is half sphere.

3. Final Answer:

   A sphere -> Option D

4. Quick Check:

   Semicircle revolve 360° = sphere [OK]

Hint: Semicircle spun fully makes a sphere [OK]

Common Mistakes:

• Thinking it creates a cylinder
• Confusing torus with sphere
• Assuming hemisphere instead of full sphere

4. You tried to create a revolved surface but got an error saying "Axis not defined". What is the most likely cause?

medium

A. The axis line was not selected or missing

B. The angle of revolution is zero

C. The profile sketch is not closed

D. The sketch is not on the correct plane

Solution

1. Step 1: Analyze the error message

   "Axis not defined" means the software cannot find the axis to revolve around.

2. Step 2: Identify common causes

   Most likely the axis line was not selected or missing in the feature setup.

3. Final Answer:

   The axis line was not selected or missing -> Option A

4. Quick Check:

   Missing axis line causes "Axis not defined" error [OK]

Hint: Always select axis line before revolving [OK]

Common Mistakes:

• Ignoring axis selection
• Assuming profile closure causes axis error
• Not checking angle value

5. You want to create a revolved surface for a bottle shape using a 2D profile sketch. The profile is open at the top and you revolve it 270 degrees around the vertical axis. What will be the result?

hard

A. A solid cylinder

B. A fully closed bottle shape

C. A partial bottle shape with an open side

D. An error because the profile is open

Solution

1. Step 1: Consider the open profile and revolution angle

   An open profile revolved less than 360 degrees creates a partial surface with an open side.

2. Step 2: Understand the effect of 270 degrees revolution

   Since 270° is less than full circle, the shape will not close fully, leaving a gap.

3. Final Answer:

   A partial bottle shape with an open side -> Option C

4. Quick Check:

   Open profile + 270° revolve = partial open shape [OK]

Hint: Less than 360° revolve + open profile = open partial shape [OK]

Common Mistakes:

• Assuming partial revolve closes shape
• Thinking open profile causes error
• Confusing partial revolve with full revolve