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The same volume of an object,
The simplest regular tetrahedron polyhedron, calculate the surface area.
The surface area is pentahedral small surface area than the regular tetrahedron
Regular hexahedron surface area than the surface area is small pentahedral
. . . .
If it is known is N-face surface area of the body, there are N +1 is smaller the surface area of the surface
When N tends to infinity for a long time, Serve the sphere surface.
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How to find the surface area and volume of a sphere with a given radius.?
Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3
What geometric shape has the smallest surface area for given volume?
A sphere
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.
What solid shape minimises surface area?
the sphere has the smallest surface area for any given volume.
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
How to find the surface area and volume of a sphere with a given radius.?
Given a sphere of radius r, Surface area = 4{pi}r2 Volume = (4/3){pi}r3
Why does liquid take the shape of a sphere when in zero gravity and gases does not?
It is due to surface tension. Surface tension is only for liquids. Due to surface tension surface energy is to be minimized only reducing the area. For a given volume sphere has minimum surface area. Hence spherical shape.
What geometric shape has the smallest surface area for a given volume?
A sphere
What geometric shape has the smallest surface area for given volume?
A sphere
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.
What solid shape minimises surface area?
the sphere has the smallest surface area for any given volume.
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
What is the answer for the hemisphere?
The answer for the hemisphere is half the volume of a sphere, which is given by the formula (2/3)πr³, where r is the radius. The surface area of a hemisphere is half the surface area of a sphere, given by the formula 2πr².
What is the formula for the volume of a sphere in terms of surface area S?
Given the surface area, where S=surface area, the formula for finding the volume isV = √(S / 4pi)
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.
How do you find mass of a sphere when only radius is given?
Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
If a sphere and a cube have the same volume, the sphere will have a larger surface area. This is because the sphere has the smallest surface area to volume ratio of any geometric shape, resulting in a larger surface area for a given volume compared to other shapes like cubes. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere, while the surface area of a cube is given by 6s^2, where s is the length of one side of the cube.
