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Volume of a sphere is 4/3 pi times the cube of its radius.
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How many copper atoms does it contain The volume of a sphere is 43pieR3 and the density of copper is 8.96 gcm3 A pure copper sphere has a radius 0.936 in?
Use your volume formula and your radius to find volume. Next use the equation d=m/v or m=dv to find your mass of copper. Use your mass, atomic weight of copper, and avagadro's number to figure out your atoms.
What is the ratio of surface area to volume for a sphere with the following measurements Surface area 300 m2 Volume 500 m3?
The ratio is 300 m2/500 m3 = 0.6 per meter.(Fascinating factoid: The sphere's radius is 5 m.)
What is the volume of a cylinder with the height of 8.4 m and a radius of 7 m?
A cylinder with a radius of 7 meters and a height of 8.4 meters has a volume of 1,293.08 cubic meters (m3).
If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter what is the volume of the tank Assume 3.14 for pi. A)28.3 m3 B)37.7 m3 C)56.5 m3 D)84.8?
radius = diameter ÷ 2 volume cylinder = area of end × height → volume = π × radius² × height → volume = π × (diameter ÷ 2)² × height →volume = π × (6m ÷ 2)² × 3 m → volume = 27π m³ ≈ 27 × 3.14 m³ = 84.78 m³ ≈ 84.8 m³ to 1 dp.
What is the equation for surface area and volume of a sphere?
Volume of a sphereCircumscribed cylinder to a sphere. In 3 dimensions, the volume inside a sphere (that is, the volume of the ball) is given by the formulawhere r is the radius of the sphere and π is the constant pi. This formula was first derived by Archimedes, who showed that the volume of a sphere is 2/3 that of a circumscribed cylinder. (This assertion follows from Cavalieri's principle.) In modern mathematics, this formula can be derived using integral calculus, e.g. disk integration to sum the volumes of an infinite number of circular disks of infinitesimal thickness stacked centered side by side along thex axis from x = 0 where the disk has radius r (i.e. y = r) to x = r where the disk has radius 0 (i.e. y = 0).At any given x, the incremental volume (δV) is given by the product of the cross-sectional area of the disk at x and its thickness (δx):The total volume is the summation of all incremental volumes:In the limit as δx approaches zero[1] this becomes:At any given x, a right-angled triangle connects x, y and r to the origin, hence it follows from Pythagorean theorem that:Thus, substituting y with a function of xgives:This can now be evaluated:Therefore the volume of a sphere is:Alternatively this formula is found using spherical coordinates, with volume elementIn higher dimensions, the sphere (or hypersphere) is usually called an n-ball. General recursive formulas exist for deriving the volume of an n-ball.For most practical uses, the volume of a sphere can be approximated as 52.4% of the volume of an inscribing cube, since . For example, since a cube with edge length 1 m has a volume of 1 m3, a sphere with diameter 1 m has a volume of about 0.524 m3.Surface area of a sphereThe surface area of a sphere is given by the following formula This formula was first derived by Archimedes, a greek, based upon the fact that the projection to the lateral surface of a circumscribing cylinder (i.e. theGall-Peters map projection) is area-preserving. It is also the derivative of the formula for the volume with respect to r because the total volume of a sphere of radius r can be thought of as the summation of the surface area of an infinite number of spherical shells of infinitesimal thickness concentrically stacked inside one another from radius 0 to radius r. At infinitesimal thickness the discrepancy between the inner and outer surface area of any given shell is infinitesimal and the elemental volume at radius r is simply the product of the surface area at radius r and the infinitesimal thickness.At any given radius r, the incremental volume (δV) is given by the product of the surface area at radius r(A(r)) and the thickness of a shell (δr):The total volume is the summation of all shell volumes:In the limit as δr approaches zero[1] this becomes:Since we have already proved what the volume is, we can substitute V:Differentiating both sides of this equation with respect to r yields A as a function of r:Which is generally abbreviated as:Alternatively, the area element on the sphere is given in spherical coordinates by:The total area can thus be obtained by integration: +++++++++++++++++If you don't now anything about calculus & are looking for formulas, then use the following:V = (4/3) * (pi)*(r3)A = 4*(pi)*(r2)
What is the volume of a sphere with a radius of 3 m?
113.1 cubic m
What is the ratio of surface area to volume for a sphere with surface area and volume m?
If they have the same radius then it is: 3 to 2
What is the volume of a sphere that has a radius of 7.1m?
Volume of the sphere: 4/3*pi*7.1^3 = 1499.214091 cubic m or about 1500 cubic m
What is the volume of sphere with 8m?
If 8m is its radius then the volume of the sphere is: 4/3*pi*8^3 = 2145 cubic m rounded
What is the volume of a spherical shell with inner radius of 1 Meter and outer radius of 2 Meter?
==================================Answer #2:I believe you want the volume of the shell ... the material between theinside and outside diameters ... whereas the first answer, above, gave youthe volume of the hole in the middle of everything. Here's my take on it:-- Volume of a sphere is 4/3 pi R3-- Volume enclosed by the outer radius is 4/3 pi (2)3-- Volume enclosed by the inner radius is 4/3 pi (1)3-- Volume of the material between them is4/3 pi (23 - 13) = 4/3 pi x 7 =28/3 pi = 29.32 m3. (rounded)The volume of a spherical shell is equal to the difference between the volume of a sphere with a radius of 2 m and a volume of a sphere with a radius of 1 meter:V= 29,321531433504736892318004910609 м3
What is the surface area of a sphere with a radius of 12 m?
Surface area of sphere: 4*pi*12^2 = 576*pi square m
'What is the surface area of a sphere with a radius of 5 m?
The surface area of a sphere with a radius of 5m is 314.2m2
What is the volume of a cone with radius of 5 m and height of 2 m?
52.36m3
How many copper atoms does it contain The volume of a sphere is 43pieR3 and the density of copper is 8.96 gcm3 A pure copper sphere has a radius 0.936 in?
Use your volume formula and your radius to find volume. Next use the equation d=m/v or m=dv to find your mass of copper. Use your mass, atomic weight of copper, and avagadro's number to figure out your atoms.
What is the volume of a sphere with diameter 5.5 m?
The volume of a sphere with a diameter of 5.5m is about 87.1m3
If a can of paint is 0.3 m high and has a 0.5m circumference what is the volume?
Work out its radius by 0.5/2*pi and use the volume formula: pi*radius^2*height. It should work out to about 0.006 cubic m.
Consider a sphere of radius R equals 8.73 m where a charge of Q equals 16.4 mC is uniformly distributed through the volume of the sphere What is the magnitude of the electric field at a point halfway?
Assuming that the charhe 'q' is uniformly distributed ina sperical volume of radius Discuss the variation of Electric intensity
