Find the Volume of the cylinder with the radius as 18inches and the height as 8 inches.?
452183
Volume of a cylinder, V = pi * r^2 * h\n\nV = pi * 18^2 * 8\nV = pi * 324 * 8\nV = pi * 2592\nV = 8143 cubic inches OR 4.71 cubic feet
456802
Let x = length of the corner being cut out.\nThe volume is then\nV = x(12-2x)(8-2x)\nV = x(96 - 24x - 16x + 4x^2)\nV = 4x^3 - 40x^2 + 96x\nTake the derivative of V\nV' = 12x^2 - 80x + 96\nSet equal to 0 and solve for x\n12x^2 - 80x + 96 = 0\n3x^2 - 20x + 24 = 0\nx = (2sqrt(7) + 10)/3\n= 5.097 or 1.569\n12-2(1.569) = 8.861\n8-2(1.569) = 4.861\nThus, the dimensions are\n1.569 by 8.861 by 4.861
29575
well, the formula for the volume of a cone is 1/3 * base * height.\n\nthe trick to doing this is to find the volume of the large cone, then subtract the volume of the small cone.  what's leftover will be the tumbler-shaped volume.  plug in numbers for the height and base for both the large and small cones, and then subtract. voila!
888444
The volume unit would be a cubic unit as it is 3-dimensional. It would depend on the unit of measure in the equation.\n\nThe calculation for volume of a cylinder is (pi) * radius^2 [squared] * height.\n\nOr out in English "Pi times the radius squared times the height"
761667
cylinder\n1.volume=pir^2h\n2.LSA=2pirh\n3.TSA=2pir(h+r)\n\nsphere\n1.volume=(4/3)pir^3\n2.area=4pir^2\n\nhemisphere\n1.volume=(2/3)pir^3\n2.basearea=pir^2\n3.LSA=2pir^2\n4.TSA=3pir^2\n\ncone\n1.volume=(1/3)pir^2h\n2.LSA=pirl\n3.TSA=pir(l+r)\n\ncube\n1.volume=a^3\n2.surface area=6a^2\n\ncuboid\n1.volume=lbh\n2.surface area=2(lb+lh+bh)
802377
Assume that the sphere is centered at (0,0,0)\nStart out by slicing the sphere through its center and looking at the cross section of the sphere and the cylinder. You will have a rectangle inscribed inside a circle.\n\n\nDraw a line from the center of the rectangle to the corner of the rectangle that is in the first quadrant. It will have length r since it is a radius of the sphere.  Let t be the angle the radius makes with the positive x axis. \n\nThe height of the cylinder is   r*sin(t).\nThe radius of the cylinder is r*cos(t)\n\nThe surface area is 2*pi*r^2cos^2(t) + 2*pi*rcos(t)rsin(t)\n\nTake the derivative and find the max.
125346
Use Heron's formula to find the area of the base: 6 times the square root of 5.  Then multiply that by the height.\n\nThe volume is 30 times the square root of 5.
824
Volume of cylinder = area of base * height.\nSince the base is a circle, that part is Pi *r^2\nSo we have Pi * r^2 * height --> \n3.14 * 12^2 * 21 = ?\n\nVolume of square prism = area of base * height\nSince the base is a square, that part is side^2\nSo we have 12 * 12 * 21 = ? \n\nSubtract the results for your final answer.
612367
Volume of cylinder = Area of the base X height = πr2h.
809750
Ratio of what?\nSurface area?\nVolume?\n\nI will go with volume.\n\nassume radius of sphere is = 1\n\nsphere = 4/3pi\ncylinder = 2pi\ncone = 2/3 pi\n\neat the pi's (get rid of them) and multiply what's left by 1.5\n\nSphere:Cylinder:Cone = 2:3:1\n\nI hope that helps
396424
The curved surface area of the cylinder would be made up of the circumference times the height.  Figure the circumference then divide the surface area by that to get the height.  it would probably be best to convert M2 into cm2 first.  100 cm=1M so 1 sq m would be 100 x 100 or 10,000sq cm x 4m2 equals 40000 cm2.  The C would be 2(pi)r  which is 2 x 3.14 x 70 = 439.6 cm.  Divide 40,000 by 439.6 = 90.99 cm for the height. volume would be (pi)r2h or 3.14 x 4900 x 90.99 = 1399972 cu cm
418026
Volume of Cylinder is pi(r-squared)times height.\nDiameter is 10 inches, so raius is 5 inches\n\npi(25)(12)=942 cubic inches\n\nUsing the volume conversion in the link below, we find this to be roughly 4.08 gallons
359171
If the ratio of the heights is 6/15 -> 2/5, then the ratio of the surface areas is 4/25, and the ratio of the volumes is 8/125.  So if the larger volume is 250, then\n\n8/125 = Va/250\nVa = 16 m^3
447026
this is 250 liters, that is 250 cubic meters.\n\nVolume of the cylinder is (area of the base)*height.\nAs the base is a circle, its area is (squared radius)*Pi.\n\nIf you assume Pi almost equal to 22/7, you can take its inverse, 7/22, and multiply by 10: you get 70/22. Take this value in meters as the height and 5 meters as the radius of the base.
329292
V=(4/3)*pi*r^3\n\nwhere r is the radius of the sphere and V is volume.
250763
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
421815
Given that the volume of the cylindrical can is 100 cm^2...\n\n100 = (pi)r^2h\n\ndivide both sides by (pi)r^2 to isolate h\n\nh = 100/(pi)r^2\n\nSo, if the radius is 2 cm...\n\nh = 100/((pi)*4) - r^2 = 2^2 = 4\n\nh = 7.96 cm, rounded to first two decimal places, using 3.14 as the value for pi.