The Weight of a Cone calculator computes the mass (weight) of a right circular cone or cone frustum defined by a top radius (a) and base radius (b), height (h) in between, using the mean density (mD) and volume to calculate the mass of the object. The frustum of a cone is also known as a truncated cone.
INSTRUCTIONS: Choose units and enter the following:
Weight of a Cone (M): The calculator computes the mass/weight of the cone in kilograms. However, this can be automatically converted to numerous other mass/weight units (e.g. pound, tons) via the pull-down menu. Note: For a complete cone, simple let the top radius (a) remain as zero.
For an instructional video (YouTube) click HERE.
The formula for the mass or weight of the frustum of a cone is:
`M = [1/3 * π * h(a2+ a*b+ b2)]*ρ`
This calculator first computes the Volume of the Frustum of a Cone (CLICK HERE), and then uses that volume with the mean density as follows:
The mean density (mD, μD or ρ) of many common substances, elements, liquids and materials can be found by clicking HERE (e.g. the μD(water) is 1000.0 kg/m³).