could some one please explain ot me what the ratio of surface area to volume actually means?
821523
It means that while the surface is enlarging, it enlarges by being squared. the volume is cubed. W*L vs L*W*Height or depth, or whatever. So the surface increase can not keep up with volume increase. S^2/V^3 Talk about an improper fraction!
343753
the type of surface\nthe surface area
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
743810
To make it easier to understand, if you had a gigantic cell that was shaped like a perfect cube one inch on a side, if it grew to two inches on a side the surface area would increase from six square inches to sixteen square inches. The volume would increase from one cubic inch to eight cubic inches.
198865
Volume = (area of the base) x (height)
762991
Volume = pi * r^2 * h\n\nwhere\nr is the radius\nand\nh is the height\n\nFor example:\nr = 0.9m\nh = 1.2m\nvolume = 3.14159 * 0.9 * 0.9 * 1.2 = 3.0536 cubic metres or 3053.6 litres\n\n_
196800
Surface area. Seriously. 8D
679609
Surface Area=sqrt{3}a^2\n    Volume =(1/12)sqrt(2)a^3\nhttp://en.wikipedia.org/wiki/Tetrahedron
166652
For a specific kind of solid, yes.  In general, no.\n\nFor example, a cube with a side length of s will have a volume of s^3 and a surface area of 6s^2.  So, for any cube, the volume and surface area will be in the ratio of s/6.\n\nFor a right cylinder, the volume is (pi)r^2*h, while the surface area is given by 2(pi)r^2 + 2(pi)r*h, which through some algebraic manipulation can be reduced to 2(r+h)(pi*r).  So the ratio of volume to surface area for a cylinder will be r*h to 2(r+h)... \n\nFor other solids, you could observe similar relationships, but in general, the relationship depends on the shape of the solid, so you could not make a definitive statement about the surface area enclosing a certain volume unless you also knew what shape that volume was in.
508477
Not True.\n\nSolid I,\nL=1\nB=4\nH=4\nSurface Area = 2x(1x4+1x4+4x4) = 48 sq units\nVolume = 1x4x4 = 16 cu units\n\nSolid II,\nL=2\nB=2\nH=5\nSurface Area = 2x(2x2+2x5+2x5) = 48 sq units\nVolume 2x2x5 = 20 cu units\n\nSurface Area the same [48 sq units, 48 sq units],\nbut Volume is different [16 cu units, 20 cu units]
885732
well...lets call your known volume V.  so...what kind of shape are we dealing with...eh, lets claim we are dealing with a sphere...we know the volume of the sphere is determined by v=(4/3)*pi*r^3 so we could solve for r (the radius).\n\nso....\n\nV=(4/3)*pi*r^3\nr=((3V)/(4pi))^(1/3)\n\nwe can now substitute that r into our surface area of a sphere equation....which is SA=4*pi*r^2, so we would have\n\nSA=4*pi*((3V)/(4pi))^(2/3)\n\na similar series of actions would occur for any other shape\n\nhope this helps,\n\nMatttlocke
857152
I'll agree that you need help.  Density is mass/vol.  You've given the density, you need another value to calculate the remaining value.
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
946826
Volume is anything that takes up space and Density is how much matter something has.
797243
there are different formulas for volume.
929643
increased surface area means increased area for reaction to occur. \n\nincreasing surface area in all cell organelles means that there is an increase in rate of reaction\n\nmeaning that cells work better in general
315840
Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h\n\n(h is the height of the cylinder, r is the radius of the top) \n\nSurface Area = Areas of top and bottom +Area of the side \n\nSurface Area = 2(Area of top) + (perimeter of top)* height \n\nSurface Area = 2(pi r 2) + (2 pi r)* h \n\nIn words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps around the middle. \n\nYou can find the area of the top (or the bottom). That's the formula for area of a circle (pi r2). Since there is both a top and a bottom, that gets multiplied by two. \n\nThe side is like the label of the can. If you peel it off and lay it flat it will be a rectangle. The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h. \n\nAdd those two parts together and you have the formula for the surface area of a cylinder. \n\nSurface Area = 2(pi r 2) + (2 pi r)* h