0
A sphere in four dimensions, often referred to as a 4-sphere or hypersphere, is the set of all points in five-dimensional space that are equidistant from a central point. Mathematically, it can be defined as the set of points ((x_1, x_2, x_3, x_4)) satisfying the equation (x_1^2 + x_2^2 + x_3^2 + x_4^2 = r^2), where (r) is the radius. While we cannot visualize it directly, we can understand it through projections or slices, much like how a 3D sphere can be represented in 2D.
What else can I help you with?
How area of sphere is connected to area of circle?
The area of a sphere is directly related to the area of a circle through the concept of dimensions. The surface area of a sphere is given by the formula (4\pi r^2), where (r) is the radius. This relationship can be understood as the sphere being a three-dimensional extension of a circle, whose area is given by (\pi r^2). Thus, the sphere's surface area can be viewed as four times the area of a circle with the same radius, representing how the circle's area expands into three dimensions.
What are dimensions of volume of a sphere and volume of a cylinder?
x^3
What are 3 dimensions shape with one face?
That would be a sphere
Is a sphere a geometric solid?
yes because it has 3 dimensions.
Which space figure consist of all points in space which are equidistant from the center?
In 2 dimensions, a circle. In 3-dimensions, a sphere.
How many dimensions does a sphere have?
Three
What is a round figure whose surface is at all points equidistant from the center?
circle or sphere
How area of sphere is connected to area of circle?
The area of a sphere is directly related to the area of a circle through the concept of dimensions. The surface area of a sphere is given by the formula (4\pi r^2), where (r) is the radius. This relationship can be understood as the sphere being a three-dimensional extension of a circle, whose area is given by (\pi r^2). Thus, the sphere's surface area can be viewed as four times the area of a circle with the same radius, representing how the circle's area expands into three dimensions.
What the universe had four dimensions?
it has 4 four dimensions
What are dimensions of volume of a sphere and volume of a cylinder?
x^3
What are 3 dimensions shape with one face?
That would be a sphere
Is a sphere a geometric solid?
yes because it has 3 dimensions.
What three shapes have no vertices?
In 3 dimensions, a sphere, an ellipsoid, or a blob.
A shape with all points the same distance from its center?
In 2 dimensions, it's a circle. In 3 dimensions, it's a sphere.
Which space figure consist of all points in space which are equidistant from the center?
In 2 dimensions, a circle. In 3-dimensions, a sphere.
When was Four Dimensions created?
Four Dimensions was created on 2010-11-06.
What do you call a 3D circle?
A circle with three dimensions is sphere.
