DEDUCTIONS AND EXISTING STOCK

Tapered base and shaft volume — base diameter scenarios.

How does changing base diameter affect tapered base and shaft volume when the other inputs stay fixed?

What this decision changes

A known internal space, existing stock or shared quantity must enter the correct subtraction or eligibility step rather than being counted as new material. Method basis: The shaft begins at the top of the taper. Its height excludes the taper, preventing overlap. This is volume takeoff from supplied dimensions, never footing-size selection.

The focus is specified base diameter. All other shared inputs remain fixed for each evaluated range.

V = πr²Hs + πHt(r²+rR+R²)/3Tapered Base and Shaft Volume Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only specified base diameter; the other entered values stay fixed.

Display units

Measured plan and product inputs

Specified shaft diameter

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Shaft height above taper

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Specified base diameter

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Taper height

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Identical components

Purchase allowance

Shortcuts only; choose your own allowance above.

Where to get this value

Enter your own allowance. Presets are input shortcuts, not a construction recommendation.

Supplied comparison range for specified base diameter

Lower supplied comparison value

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Upper supplied comparison value

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Nine evenly spaced values are evaluated. Whole counts are rounded to distinct integer scenarios. Values between the listed samples are not calculated.

9 evaluated scenarios

Baseline: Concrete volume — 3.403392 m³. Rejected combinations remain visible below.

Quantity to plot

Each bar is one actual calculated concrete volume. Horizontal values: specified base diameter in m.

Specified base diameter	Concrete volume	Change from baseline	Use this scenario
1.2 m	2.523746 m³	-0.8796459 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 0.9529498 m³
1.45 m	2.762638 m³	-0.640754 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 1.191842 m³
1.7 m	3.034255 m³	-0.3691371 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 1.463459 m³
1.95 m	3.338597 m³	-0.06479535 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 1.7678 m³
2.2 m	3.675663 m³	0.2722714 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 2.104867 m³
2.45 m	4.045455 m³	0.642063 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 2.474659 m³
2.7 m	4.447972 m³	1.04458 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 2.877175 m³
2.95 m	4.883213 m³	1.479821 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 3.312417 m³
3.2 m	5.351179 m³	1.947787 m³	Open in calculator Exact quantity breakdown Shaft per component 1.570796 m³ Taper per component 3.780383 m³

Read the evaluated results

Watch the net requirement and actual order separately. Invalid rows identify combinations that cannot satisfy the method's geometric or stock-basis constraints.

Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
Enter a comparison range on the focused input's stated unit and quantity basis.
Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

The supplied cavity, exclusion or stock eligibility must already be valid; the result does not select a safe shell, opening or construction detail.

The shaft begins at the top of the taper. Its height excludes the taper, preventing overlap. This is volume takeoff from supplied dimensions, never footing-size selection.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Tapered Base and Shaft Volume Calculator

Other independent input decisions

Read the measurement and purchase guides

Measure shaft height separately from a tapered base

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.