how to find number of gallons in a cylinder?
365724
V = Pi*r^2 * h\n\n90 ft diameter and 6 ft deep\n\nor 45ft radius\n6ft high\n\nV = Pi * (45)^2 * 6\nV = 2025pi * 6\nV = 12150pi\n\nV = about 38170.35ft^3\n\nIn gallons, that would be about 285500 gallons
361907
If the tank is a cylinder, the Volume is πr²h.  If you get the volume in cubic feet, multiply by 7.5 to get gallons.
1010084
Propane  = C3H8. The molar mass is\n(3 x 12 + 8 x 1) gram = 44 gram.\nYou give 44.1 g. That a little bit better.\n\nThe volume of the cylinder is\nAh = pi r2 h = 3.14 x (0.050 m)^2 x 1.30 = 0.212 m3.\n\nBefore: pV = nRT\n1.4×10^6 Pa x 0.212 m3 = n x 8.31 J/(mol x K) x (273 + 23)K\nSo n(begin) = 119 mol.\n\nAfter: pV = nRT\n2.4×10^5 Pa x 0.212 m3 = n x 8.31 J/(mol x K) x (273 + 23)K\nSo n(end) = 20 mol.\n\nUsed is (119 - 20) mol propane, being 99 x 44.1 gram = 4.4 kg
307086
Cones Volume = (1/3) x (volume of cylinder) = (1/3) x (base x height) = (1/3) x (pi x r^2 x h)
475972
The volume of a cylinder is given by\n\nV = pi*r^2*h\n\nAnd the surface area of a cylinder is given by\n\nSA = 2*pi*r^2 + 2*pi*r*h\n= 2*pi*r(r + h)\n\nNow, we don't have enough information to specifically find either the radii or heights - we only have a volume.  But we can still work with that based on the fact that the cylinders are similar.\n\nIf the cylinders are similar, their measurements are proportional.  In other words, the radii are proportional and the heights are proportional (r1/r2 = h1/h2 and r1/h1 = r2/h2).  So let's just assume that the larger cylinder has a radius of 3 and a height of 3 (plug in to the volume formula and it works out to 27*pi cm^3, but for the sake of this argument, we'll ignore the pi for now).  For the smaller cylinder to be similar, it would have to have a radius of 2 and a height of 2 (again ignoring pi).\n\nThe surface area of the larger cylinder is then\n\nSA = 2*pi*r(r + h)\n= 2*pi*3(3 + 3)\n= 36*pi\n\nAnd the smaller one would have a surface area of\nSA = 2*pi*r(r + h)\n= 2*pi*2(2 + 2)\n= 16*pi\n\nSo your ratio would then be 36*pi / 16*pi = 9/4.  (If we went back and corrected out radii and heights for pi, they would have all cancelled out by this step.)\n\nNow, what if my initial assumption was wrong and the radii and heights weren't 2 and 3?  Well, we can still work with that, but we'd end up with the same ratio of 9/4.  If the smaller cylinder had a height of 4, then the radius would have to be sqrt(2) for the volume to work out to be 8.  So the ratio of radius to height would be sqrt(2)/4.  Because the two cylinders are similar, this ratio must hold for the larger one.\n\n(Crazy math warning!)\nSo r/h = sqrt(2)/4, so r = h*sqrt(2)/4.  We can find the radius and height of the larger cylinder now:\n\nV = pi*r^2*h\n27 = pi*(h*sqrt(2)/4)^2*h\n27 = pi*(h^2/8)*h\n27 = (pi*h^3)/8\n216 = pi*h^3   <-  we'll drop the pi at this point - same reason as before\n216 = h^3\nh = 6\n\nr = h*sqrt(2)/4\n= 6*sqrt(2)/4\n= 3*sqrt(2)/2\n\nNow let's compare surface areas of the two:\n\nSA(big) = 2*pi*r(r + h)\n= 2*pi*(3*sqrt(2)/2)(3*sqrt(2)/2 + 6)\n= (3*pi*sqrt(2))(3*sqrt(2)/2 + 6)\n= 9*pi + 18*pi*sqrt(2)\n= 9*pi(1 + 2sqrt(2))\n\nSA(small) = 2*pi*r(r + h)\n= 2*pi*(sqrt(2))(sqrt(2) + 4)\n= 4*pi + 8*pi*sqrt(2)\n= 4*pi(1 + 2sqrt(2))\n\nAnd if you took this ratio of big to small, you have 9*pi(1+2sqrt(2)) / 4*pi(1+2sqrt(2)) = 9/4!\n\nSo my original assumption is right, and the ratio turns out to be 9/4 for these two cylinders.\n\nNow I used cylinders for this (I have no idea why), but it turns out that it works for any solid.  There's a relationship among these measurements - if we compare cubes:\n\nRatio of a side = s1/s2\nRatio of area = (s1)^2/(s2)^2\nRatio of volume = (s1)^3/(s2)^3\n\nSo for our case, the ratio of the area can be found by taking the cube root of the ratio of volumes, and then squaring it - 9/4.
1136388
a = gallons used by car 1\nb = gallons used by car 2\n\nYou can write two equations:\n1) 15a  + 40b = 2050\n2) a + b = 70\n\nMultiply #2 by 15 on both sides:\n3) 15a + 15b = 1050\n\nSubtract #3 from #1:\n4) 25b = 1000\n\nSolve for b:\n5) b = 40\n\nSolve for a (from #2)\n6) a = 30\n\nDouble check your answers:\nCar 1 goes 15 x 30 miles (450 miles)\nCar 2 goes 40 x 40 miles (1600 miles)\nTogether they go 2050 miles\n\nSo the answer is:\nFirst car 30 gallons\nSecond car 40 gallons
1161237
One cubic feet of water is 7.48 gallons.\nFind the volume of water in your swimming pool.\nSuppose it is V cubic feet.\n(If your pool has the same depth d feet every where, then \nV = (10)(15)(d) = 150 d)\nThen the number of gallons of water is V/7.48.\n\n(If the depth is not the same every where, you can make an estimate of the number of gallons, by taking d = average depth)
486266
the formula for volume of a cylinder is V = h * pi * r^2.\nAlternatively, the surface area is A = h * pi * r * 2.\n\nSo, if you have either the surface area or the volume, you can calculate for the height.\n\nH = Volume / pi * r^2\nH = Area / pi * r * 2
430786
The formula for the capacity or volume, V, of a cylinder is:\n\nV = Π(d^2)h/4\nwhere:\nΠ = 3.1416 (value up to 4 decimal places)\nd = diameter of the cylinder\nh = height of the cylinder\n\nSo, merely substitute the values that you have and you will get the capacity or volume of the cylinder. Just make sure to use similar unit of measures both for the diameter and the height.
863660
Use volume formula for a cylinder:\n\nV = pi r² h\n\nYou know r = d/2 = 18/2 = 9 ft.\n\nYou know h = 47 ft.\n\nSo, using 3.14 for pi as your question requests, you get the following:\n\nV = 3.14 * (9 ft.) ² * 47 ft.\n\n= 3.14 * 9 * 9 * 47 ft ³\n\n= 11,954 ft ³ (rounded)\n\nHope that helped!\n\n.
12552
One foot is equal to 12 inches so you could assume that the tank is also equal to (10 x 12) by (35 x 12) or 120" by 420". Then you take your number of gallons and divide by 120 x 420 or 50400 (I'm assuming you meant gallons per inch)
448895
Volume, V = 2πrh...\n\nSince there is only one equation, but two unknowns...\n\nyou must supply the value of one unknown (you must decide on a pre-determined value. You either decide the value for the radius of the cylinder or its height) to solve for the other dimension.
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
225482
Assuming that you mean a cylindrical tank, find its volume using the formula V=(pi)(r^2)(h).  To find the radius, plug the 12' circumference into the formula C=2(pi)(r).\n\nYou need to convert 38'5" to just feet.  \n\nConvert your answer, which will be in cubic feet, to gallons.  1 gallon=0.1336805 cubic feet.
100212
There are 231 cubic inches in a gallon. 4' has 48" and 8' has 96" in it. So 48" * 96" * 48" = 221,184" \n221,184 / 231 = 957.50 gallons in it.
533825
Calculate the cross-sectional area of the water and multiply by the length of the cylinder.  The cross sectional area can be calculated with the depth of the wafer and the radius of the cylinder.  It is hard to explain without drawing a diagram but basically you draw 2 straight line connecting the center of the cycle (cross-section) to where the water surface contact the wall of the cylinder.  That form a sector.  Calculate the angle of the sector.  Multiply the total area of the circle by the angle of the sector divided by 360 degree to obtain the area of the sector.  Next, substract the area in the sector where there is no water and you will get the cross-sectional area of the water.
969061
The only thing you need to figure that out is the height of the (i presume) circular cup. Just estimate it as a cylinder, or use some simple calculus to add a sloped cup.\n\nAnyways, the volume of a cylinder is pi*r^2 * h. or A * h  where A is the surface of the water.\n\nThe next problem is converting fl. oz to a volume in terms of distance measurements. I find this easiest to do in metric units, although if you spend some time you can figure it out in oz.\n\nso 1 US fluid ounce = 29.5735297 ml\n\n1 ml = 1 cubic cm.\n\nthus\n\n16 US fluid ounces = 473.176475 ml = 473.18 cubic centimeters.\n\n473.18 = A * h.\n\nSimply put in the height in centimeters and you've got the area.\n\nI don't know of any statistics about the average car cup holder dimensions although if you take a guess and imagine the one in your car, i'm sure it'll be close.