The Mass or Weight of a Slanted Cylinder calculator compute the mass or weight based on the radius of the cylinder, the side length, the slant angle and the mean density.
INSTRUCTIONS: Choose units and enter the following:
- (r) Radius of Cylinder.
- (l) Length of Side of Cylinder.
- (θ) Slant Angle
- (mD) Mean Density of the substance of the cylinder.
Mass/Weight of Cylinder (m): The calculator returns the mass of the slanted cylinder in kilograms. However, this can be automatically converted to other mass/weight units via the pull-down menu.
Slanted Cylinder Calculators
- Surface Area of a slanted cylinder based on the radius (r) and side length (l).
- Surface Area of a slanted cylinder based on the radius (r), slant angle (θ) and the height (h).
- Volume of a Slanted Cylinder
- Mass or Weight of a Slanted Cylinder
The Math/ Science
The formula for the mass of a slanted cylinder is:
`m = π⋅r^2⋅l⋅sin(θ)⋅mD`
where:
- m = mass or weight of the slanted cylinder
- r = radius of base
- l = slanted side length
- mD = mean density of material
This formula computes the volume of the geometric shape based on the input parameters. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.
`mass = mu_(density) * volume`
Mean Density Table
| Common Mean Densities in Kilograms per Meter Cubed (kg/m3) | ||
|
Fluids
Fuels
Market-Ready Grains |
Metals
|
Earthen
Synthetic
Organic
|
| Mean Density Lookup Function | ||
Mean density is scientifically volume divided by mass. There are various unit for density adopted by cultures and industries. Common units for density included the following:
- kilograms per cubic meter (kg/m3)
- grams per cubic centimeter (g/cm3)
- grams per liter (g/L)
- pounds per cubic feet (lb/ft3)
- ounces per cubic inch (oz/in3)
- pounds per barrel (lb/bbl)
- pounds per bushel (lb/bu)
If you want to identify a material by its density, use the Density Within Range tool.
Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object. On the surface of the Earth, mass and weight are often interchanged. In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight). 
The Weight Calculators use the dimensions of an object and its shape to compute the objects volume. They then apply a density associated with a material to estimate the objects weight.
Weight Calculators
- Weight from Area, Height and Density
- Cube Weight
- Box Weight
- Cone Weight
- Cone Frustum Weight
- Cylinder Weight
- Slanted Cylinder Weight
- Semicircle Weight
- Triangular Weight
- Quadrilateral Weight
- Pentagon Weight
- Hexagon Weight
- Heptagon Weight
- Octagon Weight
- Nonagon Weight
- Decagon Weight
- Hendecagon Weight
- Dodecagon Weight
- Paraboloid Weight
- Polygon Pyramid Frustum Weight
- Sphere Mass
- Sphere Cap Weight
- Sphere Segment Weight
- Sphere Shell Mass
- Oblate Spheroid Mass
- Ellipsoid Weight
- Torus Weight
- Bottle Weight
- Bottle Content Weight
- Chamfer Weight
- Ring Weight
Cylinder Calculators
- Cylinder Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
- Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
- Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
- Cylinder Volume from Height and Circumference: Computes the volume of a cylinder based on the height and circumference. It also returns the diameter of the cylinder.
- Cylinder Height: Computes the height of a cylinder based on the volume and radius.
- Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
- Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
- Cylinder Mass Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.
- Volume in Horizontal Cylinder: Computes partial volume of a horizontal circular cylinder based on the radius and length of the cylinder and the vertical height of the contents in the cylinder (see diagram).
- Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
- Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
- Slanted Cylinder Area from Angle: Computes the lateral area (surface area of the sides) of a slanted cylinder based on its radius, height and slant angle (θ).
- Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
- Slanted Cylinder Weight: Computes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
- Cylinder MoI about Central Axis: Computes the moment of inertia of a cylinder about its central axis based on the mass and radius.
- Cylinder MoI about the End: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis along the diameter of the cylinder at one end.
- Cylinder MoI Perpendicular to Axis: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis perpendicular to the axis of the cylinder and through the center of mass.