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What geometric surface encloses the maximum volume with the minimum surface area?
a sphere
If the volume of a sphere is 3000pie meters cubed what is the surface area of the sphere?
2,157.7 square meters.
What is the ratio of surface area to volume for a sphere with the following measurements Surface area equals 588 m2Volume equals 1372 m3?
0.4 m-1 is the ration of surface area 588m2 to volume 1372m3 for a sphere.
What are the characteristics of a globe?
A globe is a sphere in which two mathematical formulae are used to calculate its surface area and its volume: Surface area of a sphere = 4*pi*radius2 in square units. Volume of a sphere = 4/3*pi*radius3 in cubic units.
Do solids that have the same volume have the same surface area?
Not necessarily. Having the same volume does not mean having the same surface area. As an example, if you were to take a sphere with volume 4/3*pi*r^3, and a suface area of 4*pi*r^2, and compare it to a cube with sides 4/3, pi, and 4^3, you would find that they had a different surface area, but the same volume. Let the radius of the sphere be 2, that is r = 2. In this case the surface are of the sphere is about 50, and the surface are of the cube is about 80. So a sphere and a cube, both with a volume of about 33.51 (4/3 * pi * 8), have different surface areas.
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.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
How do you find the surface area of a sphere when its volume is 523.5987756 cubic cm?
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.
What are the calculations of finding the volume and surface of a sphere?
sphere surface area = 4 * pi * (radius2) and: sphere volume = 4/3 * pi * (radius3) ( pi = 3.141592654 approx)
Which geometric shape has the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio of all geometric shapes. This is because the sphere is able to enclose the largest volume with the smallest surface area due to its symmetrical shape.
What is the ratio of surface area to volume for a sphere with the following measurements. Surface area equals 300 m2 Volume equals 500 m3?
0.6 m-1 is the ratio of surface area to volume for a sphere.
A sphere has a surface area of 324 pi square inches What is the volume?
A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.
Relation between volume radius and surface of sphere?
Let the radius of the sphere be r. surface area of the sphere = 4 * pi * r^2 volume = (4 * pi * r^3)/3
What is the surface are and volume of a 9.5 feet sphere?
A sphere having a diameter of 9.5 feet has a surface area of 283.53 square feet and a volume of 448.92 cubic feet.
What is the volume of a shape with a surface area of ten cm?
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.
Surface areas and volumes of spheres?
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
Why does a sphere have the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.
