First find the radius of the sphere using the volume formula, substitute volume for V & solve for r:
V = (4/3)*PI*r3
(3000*PI*m3 ) * (3/4) * (1/PI) = r3
r3 = 2250 m3
r = CUBE ROOT (2250 m3)
r = 13.104 m
The surface area can now be calculated using the following formula:
A = 4*PI*r2
A = 4*PI*(13.104 m)2
A = 686.83*PI m2
Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.
surface area of sphere = 4πR2 volume of sphere = 4/3πR3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3πR3 s = [cube root (4/3π)] R surface area ofcube = 6 (cube root( 4/3π) times R)2 surface area sphere = 4πR2= 12.56 R2 surface area cube = 15.44 R2 So a sphere has less surface area than a cube with the same volume. Where R= radius of the sphere s=length of side of the cube Sorry,calculation above is now corrected - same equations, earlier made math error - cube has more surface area as you can see
surface area sphere = 4πr² → r = √(surface_area/4π) = √(1296π in²/4π) = √(324 in²) = 18 in Volume sphere = 4/3 πr³ = 4/3 π (18 in)³ = 7776π in³
If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.
If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.
The surface area of a sphere with a volume of 3500pi is: 2,391 square units.
Formula for volume of a sphere is 4 x pi x r cubed Formula for surface area is 4 x pi x r squared Therefore the radius = the cubic root of 3000/(4pi) = 6.20..... So the surface area = 6.20.... squared x pi x 4 =483.60(2dp) HTH
Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.
0.6 m-1 is the ratio of surface area to volume for a sphere.
A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.
depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
If they have the same radius then it is: 3 to 2
because the surface area is spread out over the volume of mass
Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r: The surface area of the sphere will be 4πr2 The volume of the sphere = 4/3(πr3) Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.
Well, first of all, that's no sphere.-- A sphere with surface area = 300 has volume = 488.6.-- A sphere needs surface area of 304.6 in order to have volume = 500.But this is just a ratio exercise, not a geometry problem, so we'll just use the numbersgiven in the question. It's just some sort of wacky humongous paramecium:Surface area = 300Volume = 500Ratio of (surface area)/(volume) = 300/500 = 0.6 .
0.6 is the surface area to volume ratio.
Volume = 113.097 m3 Surface area = 113.097 m2