. Haswell's engineers' and mechanics' pocket-book ... MENSURATION OF SOLIDS. 87 To find the Solidity of the Frustrum of a Hyperbolic CoTwid—fig. —Add together the squares of the greatest and least semi-diameters as and dr, and the square of the whole diameter nm inthe middle of the two : multiply this sum by the height r s, and theproduct by .5236, and-it will give the solidity. OF CYLINDRICAL To find the Solidity of a Cylindrical Ring-^fig. 54. Rule.—To the thickness of the ring a b, add the inner diameterhe; then multiply the sum by the square of the thickness, and theproduct
. Haswell's engineers' and mechanics' pocket-book ... MENSURATION OF SOLIDS. 87 To find the Solidity of the Frustrum of a Hyperbolic CoTwid—fig. —Add together the squares of the greatest and least semi-diameters as and dr, and the square of the whole diameter nm inthe middle of the two : multiply this sum by the height r s, and theproduct by .5236, and-it will give the solidity. OF CYLINDRICAL To find the Solidity of a Cylindrical Ring-^fig. 54. Rule.—To the thickness of the ring a b, add the inner diameterhe; then multiply the sum by the square of the thickness, and theproduct by , and it will give the BY MATHEMATICAL FORMULA. FRUSTRUM OF A RIGHT TRIANGULAR PRISM. The base Xi[h-{-h-]-h), h being the heights. FRUSTRUM OF ANY RIGHT PRISM. The base X its distance from the centre of gravity of the section. CYLINDRICAL SEGMENT. Contained between the base and an oblique plane passing througha diameter of the base, twice the height x the quotient of the squareof the radius -:-3 ; or f Ar^ r being the radius and h the height. SPHERICAL SEGMENT. —(Sr^+A^), r being the radius of the base, and h the height of thesegment. SPHERICAL ZONE. ^(3R--f 3r2+A2^, Rr being the radii of the bases. SPHERIQAL SECTOR. Jr X the surface of the segment or zone. 2 ELLIPSOID. ^-^—, a being the revolving diameter, and b the axis of 88 MENSURATION OF ScJlIDS. PARABOLOID
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