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A composite cube with a side of 2 has a volume of 8 units 3 but a surface area of only 24 units 2. A rectangular prism two cubes wide, one cube long and four cubes tall has the same volume, but a surface area of 28 units 2. Stacking them in a single column gives 34 units 2.
A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...
Italian mathematician Bonaventura Cavalieri (1598–1647), from a 1682 publication of his Trattato della sfera. Cavalieri's principle was originally called the method of indivisibles, the name it was known by in Renaissance Europe. [2]
The sphere has the smallest surface area of all surfaces that enclose a given volume, and it encloses the largest volume among all closed surfaces with a given surface area. [11] The sphere therefore appears in nature: for example, bubbles and small water drops are roughly spherical because the surface tension locally minimizes surface area.
Assume a general nodal point 'P' for a general control volume. Adjacent nodal points to the East and West are identified by E and W respectively. The West-side face of the control volume is referred to by 'w' and the East-side control volume face by 'e' (Figure 2). Steady state one-dimensional diffusion (Figure 3)
The Pradhan Mantri fasal bima yojana (PMFBY) launched on 18 February 2016 by Prime Minister Narendra Modi is an insurance service for farmers for their yields. [1] It was formulated in line with One Nation–One Scheme theme by replacing earlier two schemes Agricultural insurance in India#National Agriculture Insurance Scheme and Modified National Agricultural Insurance Scheme by incorporating ...
Abu'l-Fazl ibn Mubarak, also known as Abul Fazl, Abu'l Fadl and Abu'l-Fadl 'Allami (14 January 1551 – 22 August 1602), [2] was an Indian writer, historian, and politician who served as the grand vizier of the Mughal Empire from his appointment in 1579, until his death in 1602. [3]
At 25 °C an aqueous solution that has a pH of 3.5 has 10 −3.5 moles H 3 O + (hydronium ions) per litre of solution (and also 10 −10.5 moles per litre OH −). A pH of 7, defined as neutral, has 10 −7 moles of hydronium ions per litre of solution and also 10 −7 moles of OH − per litre; since the two concentrations are equal, they are ...