Math and Arithmetic
Algebra
Geometry

# What is the surface area of a sphere with a volume of 3500pi?

The surface area of a sphere with a volume of 3500pi is: 2,391 square units.

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## Related Questions

A sphere can either have a surface area of 432 m2 but not a volume of 864 m3, or it can have a volume of 864 m3 but not a surface area of 432 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.

A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.

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 4&pi;r2 The volume of the sphere = 4/3(&pi;r3) Therefore the surface area to the volume ratio will be 4&pi;r2/{4/3(&pi;r3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.

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.

because the surface area is spread out over the volume of mass

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 .

-- The ratio of 588 to 1,372 is 0.4286 (rounded) -- A sphere with surface area of 588 has volume closer to 1,340.7 . (rounded)

sphere surface area = 4 * pi * (radius2) and: sphere volume = 4/3 * pi * (radius3) ( pi = 3.141592654 approx)

Given the surface area, where S=surface area, the formula for finding the volume isV = &radic;(S / 4pi)

Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3

The volume of a body and the surface area arerelated but not in a direct way. For a given volume, the smallest surface area of an object is seen then the object is a sphere. As the shape flattens from a sphere, so the surface area becomes larger. When the object approaches an infinitely small thickness, the surface area approaches and infinite size.

the sphere has the smallest surface area for any given volume.

The formula for the surface area of a sphere is 4&pi;r2. The formula for the volume of a sphere is 4/3&pi;r3.

Some of many examples are:- Finding the circumference of a circle Finding the area of a circle Finding the surface area of a sphere Finding the volume of a sphere Finding the surface area of a cylinder Finding the volume of a cylinder Finding the volume of a cone Finding the surface area of a cone

surface area of sphere = 4&pi;R2 volume of sphere = 4/3&pi;R3 surface area of cube = 6s2 volume of cube = s3 since volumes are equal then s3 = 4/3&pi;R3 s = [cube root (4/3&pi;)] R surface area ofcube = 6 (cube root( 4/3&pi;) times R)2 surface area sphere = 4&pi;R2= 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

-- "864m square" is not a volume. "864m cubed" is a volume.-- A sphere can't have those measurements.If it's really a sphere with surface area of 432 m2, then its volume is 844.3 m3.If it's really a sphere with volume 864 m3, then its surface area is 438.7 m2.-- The answer to the question is: The ratio of 432 m2 to 864 m2 is 0.5 .-- If those are really an area and a volume, then the ratio of 432 m2 to 864 m3 is 0.5 per meter.

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