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A cone and a cylinder have radius r and height h. 2. The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.
The specific weight, also known as the unit weight (symbol γ, the Greek letter gamma), is a volume-specific quantity defined as the weight W divided by the volume V of a material: = / Equivalently, it may also be formulated as the product of density, ρ, and gravity acceleration, g: = Its unit of measurement in the International System of Units (SI) is newton per cubic metre (N/m 3), with ...
For a circular bicone with radius R and height center-to-top H, the formula for volume becomes V = 2 3 π R 2 H . {\displaystyle V={\frac {2}{3}}\pi R^{2}H.} For a right circular cone, the surface area is
Conversions between units in the metric system are defined by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10 −6 metre).
Fabric "weight" is often specified as mass per unit area, grams per square meter (gsm) or ounces per square yard. It is also sometimes specified in ounces per yard in a standard width for the particular cloth. One gram per square meter equals 0.0295 ounces per square yard; one ounce per square yard equals 33.9 grams per square meter.
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8.96 g/cm 3: WEL (near r.t.) 8920 kg/m 3: LNG (at 20 °C) 8.96 g/cm 3: CRC (near r.t.) 8.96 g/cm 3: 30 Zn zinc; use: 7.14 g/cm 3: WEL (near r.t.) 7140 kg/m 3: LNG (at r.t.) 7.14 g/cm 3: CRC (near r.t.) 7.14 g/cm 3: 31 Ga gallium; use: 5.91 g/cm 3: WEL (near r.t.) 5904 kg/m 3: LNG (at 29.6 °C) 5.904 g/cm 3: CRC (near r.t.) 5.91 g/cm 3: 32 Ge ...
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