Cone Calculator Shortcode#

Calculate cone surface area and automatically scale recipes based on cone dimensions.

Usage#

{{< cone-calc id="cone" baseD="7" baseH="15" baseSqIn="225" >}}

{{< recipe id="cone" >}}
- 1 cup chocolate
- 2 tablespoons butter
{{< /recipe >}}

Parameters#

ParameterDefaultRequiredDescription
id-YesMust match the recipe id it controls
baseD7NoBase diameter in inches
baseH15NoBase height (length) in inches
baseSqIn220NoBase surface area in square inches

Features#

  • Automatic calculation: Computes lateral surface area using formula: (π/4) × D × √(D² + 4H²)
  • Recipe scaling: Adjusts linked recipe based on surface area ratio
  • Interactive inputs: Real-time updates as you change dimensions
  • Reset button: Appears when values differ from base, allowing quick return
  • Visual display: Shows calculated square inches

How It Works#

  1. User enters desired cone diameter and length
  2. Calculator computes new surface area
  3. Scale factor = new surface area ÷ base surface area
  4. Linked recipe scales by this factor

Example#

If base cone is 7" diameter × 15" length (220 sq in), and you change to 10" diameter × 20" length:

  • New surface area ≈ 440 sq in
  • Scale factor = 440 ÷ 220 = 2x
  • All recipe quantities double

Notes#

  • Calculates only lateral (side) surface area, not including base circle
  • The id must match the recipe it controls
  • Base values should match your original recipe’s cone size
  • Input values must be positive numbers