Can someone help me with my homework.Its on volume of triangular prisms and cylinders,Tell me how to do it.?
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find the area of the base and multiply it by the height\n\n(1/2)*b*h1*h2  for a triangular prism h1 is height of the triangle, h2 is the height of the prism\n\npi*(r^2)*h for cylinder, h is height, r is radius of the base
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Surface areas and lateral areas are always fun to find.  Surface areas for right prisms and cylinders is always the sum of the lateral area and two times a base.  (Lateral area is the sum of all the surfaces that aren't bases.)\n\nIn the case of a cylinder, the lateral area is really a rectangle - imagine cutting open a roll of toilet paper.  The length is really the circumference of the top (base) and the height is, well, the height of the roll.  So the lateral area is 2*pi*r*h.\n\nThe surface area is the lateral area plus two bases.  A base in this case is given by pi*r^2.  So the total surface area is 2*pi*r^2 + 2*pi*r*h.\n\nThe idea behind lateral and surface areas will carry over when you start working on right prisms (if you're not already doing those).  Lateral area is, in the case of a prism, the perimeter of the base (similar to cylinders, except we used "circumference" in place of "perimeter") times the height of the prism.  And the surface area is the lateral area plus two bases - in this case, the bases vary (you may have squares, triangles, trapezoids, etc.), so your formula for the total surface area will vary as well.\n\nThis is probably more than you wanted to know, but it's always good to relate things you know to things that you're learning.
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The volume of a sphere with radius r is (4/3)pi * r^3. Your radius is 7yds, so the volume is (4/3) pi (7yd)^3 = (4/3)(343)(pi) yd^3 = 457 1/3 (pi) yd^3
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The volume of a pyramid is equal to one-third the base area multiplied by the height.\n\n\nImagine a step-pyramid made up of small square prisms with dimensions\na-by-a-by-b, arranged in square layers. If the layers are k-by-k for\nk = 1, 2, 3, ..., n, then the total volume of the step-pyramid is:\n\n   V = a^2*b*[1^2 + 2^2 + 3^2 + ... + n^2],\n     = a^2*b*n*(n + 1)*(2*n + 1)/6 (which can be proved by induction),\n     = a^2*b*n^3*(1/3 + 1/[2*n] + 1/[6*n^2]).\n\nNow, the height of the step-pyramid is h = b*n, and the area of the \nbase is:\n\n   B = a^2*n^2, \n\nso the volume is:\n\n   V = h*B*(1/3 + 1/[2*n] + 1/n^2).\n\nNow let n -> infinity, so the steps get smaller and smaller, and the\nvolume of the step-pyramid approaches the volume of the inscribed \npyramid. Then the right-hand side approaches h*B/3, as the volume V \napproaches the volume of the pyramid.\n\nThis same proof works for a pyramid with any polygonal base. For a \ncone, take a pyramid with a regular m-gon for a base, and let \nm -> infinity.\n\nThe base approaches a circle, and the pyramid approaches a cone, and \nthe formula V = h*B/3 still holds in the limit.\n\nThere is another proof, which cuts a rectangular solid into six pieces \nof equal volume, each of which is a triangular pyramid (or irregular\ntetrahedron). This proves that the volume of each is 1/6th the volume \nof the starting rectangular solid, and each has base of area 1/2 the \narea of one of the faces of the solid, and height equal to the \ndimension of the solid perpendicular to that face
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180\n\nmade up of\n54 - 2 cube prisms\n27 - 3 cube prisms\n36 - 4 cube prisms\n36 - 6 cube prisms\n9 - 9 cube prisms\n12 - 12 cube prisms\n6 - 18 cube prisms
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The method to finnd the volume of sphereis computed by The mathematician, Archimedes.\nThe formula for find the volume =4/3 pi  r cube\nie, pi = 3.14\n     r is the radius of the sphere.\nFor eg, r=1.2 m\n v =4/3 pi*(1.2*1.2*1.2) \n    =4/3*3.14*1728\n     =7.2346 cu.m\n     1 cu.m = 1000 litres\nV   =7.2346*1000\n       =7234.6\n\nDon't u understand.
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volume of cyllinder = area of circle times height\n\n= Pi x radius x radius  x height\n\nremember its just the same as finding the volume of any prism.\nfind the area of the shape of the end then multiply by its length!!
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you split it into 2 ,a cone and a cylinder. first u need the slanting height of the cone and you find this by pythagorus theory for triangles ie L2 = h2 + r2, so height=6(found by subtracting the 15 from 21) radius=10 (20/2)therefore L2=6x6+10x10=136 therefore L =sqr root of 136 =11.6 surface area is A=pi*r*L\npi=3.142 so 3.142*10*11.6 = 364.5sq ft now the cylinder the surface area of a cylinder is circumference × h, or 2πr × h\nso 2*3.142*10*15 =942.6 so 942.6+364.5=1307.1 sq ft to find quantity of tins 1307.1/250=5.2 so they need 6 full tins you must check the formulas and calculations as I may have made a mistake ok
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Cones Volume = (1/3) x (volume of cylinder) = (1/3) x (base x height) = (1/3) x (pi x r^2 x h)
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Volume Formulas \nNote: "ab" means "a" multiplied by "b". "a2" means "a squared", which is the same as "a" times "a". "b3" means "b cubed", which is the same as "b" times "b" times "b".\nBe careful!! Units count. Use the same units for all measurements. Examples\ncube = a 3  \n\nrectangular prism = a b c  \n\nirregular prism = b h  \n\ncylinder = b h = pi r 2 h  \n\npyramid = (1/3) b h  \n\ncone = (1/3) b h = 1/3 pi r 2 h  \n\nsphere = (4/3) pi r 3  \n\nellipsoid = (4/3) pi r1 r2 r3  \n\n  \n\n  Units \n\nVolume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. \n\nVolume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. \n\nIf a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches. (Cubic inches can also be written in3.) \n\nBe sure to use the same units for all measurements. You cannot multiply feet times inches times yards, it doesn't make a perfectly cubed measurement. \n\nThe volume of a rectangular prism is the length on the side times the width times the height. If the width is 4 inches, the length is 1 foot and the height is 3 feet, what is the volume?\n\nNOT CORRECT .... 4 times 1 times 3 = 12 \n\nCORRECT.... 4 inches is the same as 1/3 feet. Volume is 1/3 feet times 1 foot times 3 feet = 1 cubic foot (or 1 cu. ft., or 1 ft3).
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Find the volume of the cuboid(a 3D rectangle) and the whole cylinder. DIVIDE ONLY THE VOLUME OF THE CYLINDER BY 2. Then add it to the cuboid's volume.
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http://www.webmath.com/geo_cylinder.html\nif u want examples go to this link or find another link on yahoo
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you divide the mass by the volume\n1.2.14 g/cm^3\n2..82 g/cm^3\ngood luck!
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The equation for vol depends on what he's taking the vol of i.e. square sphere etc. \n\nCommon equations for volume:\n\nA cube: s^3 = s*s*s (where s is the length of a side)\nA rectangular prism: l*w*h (length, width, height)\nA cylinder: PI*(r^2)*h (r = radius of circular face, h = distance between faces)\nA sphere: (4/3)*PI*(r^3) (r = radius of sphere) - (which is the first integral of the formula for Surface Area of a sphere\netc.\nmore volume defs @: http://en.wikipedia.org/wiki/Volume\n\nPI = 3.1415926535...\n\ndensity is represented by the symbol rho which looks like a p and the equation for it is p = (m/V) where m is mass and V is volume.
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Solve the two equations simultaneously:\n\ny = x^2 ---------- i\n5y = 4x^2 + 4 ---- ii\n\nsubstitute i in ii\n\n5x^2 = 4x^2 + 4\n x = 2 or -2\nand y = 4\n\nSo the points of intersection are (2,4) and (-2,4)\n\nTherefore, height of bowl = 4\n\nOk, I'm a bit rusty on volumes and areas, but I'll take a shot anyway:\n\nVolume of bowl = Volume generated when 5y = 4x^2 + 4 rotates completely about the y-axis\n= Volume of half an ellipsoid?\n= 2/3 (Pi) (2^2) (16/5)\n= 128/15 (Pi)\n\nAmount of plastic = total surface area of solid\n\nYou could try integrating if you fancy it.
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The volume of a cylinder equals the (area of the base)*height = π r2h
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use the formulas your given\nto find the volume of the cylinder\nthen pretend the semi hemi on  the top is a sphere find the volume and multiply by 1/2\n\nadd two totals to find volume