Why the formula for the volume of a Sphere has '4/3' in it?
342254
The volume V of the sphere is the sum of the volumes of all the "almost pyramids" with bases B1, B2, B3,........\n\nV = 1/3B1r + 1/3B2r + 1/3B3r + 1/3B4r + ........\nV = 1/3r( B1 +B2 + B3 + B4 + ......)\n\nThe sum of the bases is the surface area (S.A.) of the sphere. The volume V is 4/3¶3. Substituting,\n\n4/3¶r3 = 1/3r * S.A.\n\nTo solve for the surface area, multiply both sides by 3/r.\n\n3/r * 4/3¶r3 = 3/r * 1/3r * S.A.\n4¶r2 = S.A.\n\nSphere Surface Area Formula:\nThe surface area SA of a sphere with radius r is 4¶r2.\nS.A. = 4¶r2
1100142
area or volume???\n\narea = 2 (3.4 * 3 + 3*2.2 + 2.2*3.4 )\n in square meters.\n\nvolm = 3.4*3*2.2\nin cubic meters.\n\n\nI only edited bcoz ever1 is giving wrong ans for area. Correct area is 48.56 sq mtr. I dont understand how it can b 6.6\n\nvolm = 22.44 cubic mtr
1137727
I like the joke!  To play along, I define:\nr = metric r  and \nd = metric d\n\nV = (pi/3)*(d^2)*(3r - d)\n\nThis will work for the tank being any fraction of a sphere, not just 1/2
840147
Volume = (4/3) pi * radius^3\n\nRadius = Diameter / 2\n\nCristi has the right answer. Different people will use a comma in place of a decimal. It all depends on how you were taught. That's why it seems like the answer was a few orders of magnitude off when it was actually exactly right.\n\nTherefore, the answer is 113.097 cubic feet.
725593
dV/dr= 4/3pi*(3r^2)=4pi*r^2, evaluate this at r=3 you get 4pi*3^2 = 36pi.
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
464437
Here is instructions on finding the volume of any prisim.\n\nhttp://www.math.com/school/subject3/lessons/S3U4L2DP.html
466950
Volume = Area x height\nArea = r x r x pi\npi is approximated by the fraction 22/7\nTherefore Volume of cylinder = 4 x4 x 22/7 x7 = 352 units^3
485421
well u need to consider the formula of finding the wolume of a sphere. formula is 4/3*pi*r*r*r. so when the balloon is 2cm wide it has a radius,r, of 1cm. so v=kr*r*r. when the design is changed to a width of 10cm. the radius is now 5cm hence going under an increase of 5. the new radius is 5 times the first radius. so the nex volume=k5*5*5*r*r*r=125*k*r. so the new volume is 125*41=5125. (i have a query with the problem though since it did not follow the formula, 4/3*pi*r*r*r does not equal 41. usually a balloon even though is not a perfect circle is considered to follow this formula. if the balloon you are talking about is not a sphere shaped ballon then i would undersatnd why the formula does not apply and in that case the explanation i gave would be inacurate. check on that before you take my answer as right. i just gave you what i think is right based on what i understood of the problem. good luck.)
63817
tsniperx\n2 months ago\n\nVolume of one block cube = 10cm*10cm*10cm = 1000cm^3\nVolume of two block cube = 2000 cm^3\nVolume of one sphere = (4/3)*pi*r^3 = (4/3)*pi*(5cm)^3\nVolume of one sphere= 523.59877 cm^3\n\nno spheres= Volume of clay / Volume of sphere= 2000cm^3 / 523.59877cm^3\nNo spheres must be integer = 3 spheres
894614
PV=nRT\nP= (nRT)/V  (1st eq)\n\nn,R,T u know.\n\nV >>>\nDensity = mass/ volume\n2.3 = .00446 *10^3/Volume\n\nrearrange and ull get volume.............and then put that into the first equation.............and voila
549577
The formula for surface area of a sphere is \nA = 4*pi(r^2)\n64 pi = 4*pi(r^2)\nwhich means r^2 = 16 or r = 4\nVolume of a sphere is \nV = (4/3)*pi (r^3)\nV = (4/3)*pi (4^3)\nV = (4/3)*pi (64)\nV = (256/3)*pi
1115101
Don't listen to the other 2 guys, this is not a question that is that easy, and you're not stupid.\nThis is the right answer, trust me, I got 100% in science and 99% in math\n\nthe volume of a circle is:\n4/3 x pi (3.14...) x r3  (that's radius cubed)\n\nThe radius is equal to half of the diamitre, so that's .5 kms\n\n4/3 x 3.14 x (0.5x0.5x0.5) = volume of 1 asteroid\n0.52333333333333... = volume of 1 asteroid\n\nso, if each asteroid has the volume of 0.523, then 500 000 asteroids would have the volume of \n500 000 x 0.523= totale volume\n261111.67 km3 = totale volume\n\nSo, the volume of one big asteroid would be 261 111.67 km3 (that's km's cubed)
1000601
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.
1181969
The volume of the sphere is 4/3*pi*r^3\n\nThe volume of the cylinder is pi*r^2*h\n\nSince the cylinder's h is the same as 2r, then the volume becomes pi*r^2*2r which is the same as 2*pi*r^3.\n\nThe fraction of the space taken up by the sphere is the same as:\n\n4/3*pi*r^3\n-------------\n2*pi*r^3\n\nwhich is the same as:\n\n4/3\n----\n2\n\nwhich reduces down to 2/3
947383
cubes have all sides with the same length. Volume = length x width x height. So for a cube = length^3
174332
The surface area of a sphere is A=4*pi*r^2 where r is the radius of the sphere. The *volume* is (4/3)*pi*r^3.