Which statement about a sphere is true?
A.The length of the diameter of a sphere is two times the length of the radius of the sphere.
B.The great circle of a sphere is a three-dimensional circle.
C.The great circle of a sphere is not the same shape as the base of a cone.
D.The center of a sphere is created from a plane that passes through the sphere.
Not so hard, if you know the definition of radius and diameter.
Which statement about a sphere is true?
The length of the diameter of a sphere is two times the length of the radius of the sphere.
bet no one can solve this :) xD
well u basically just gave it away lol
yeah well i dont so what is the answer lol
To determine which statement about a sphere is true, let's break down each statement and assess its accuracy:
A. "The length of the diameter of a sphere is two times the length of the radius of the sphere."
To check if this statement is true, we need to understand the definitions of diameter and radius. The diameter is a line segment that passes through the center of the sphere and connects two points on the sphere's surface. The radius, on the other hand, is a line segment that connects the center of the sphere to any point on its surface.
By definition, the diameter is twice the length of the radius. Therefore, statement A is true.
B. "The great circle of a sphere is a three-dimensional circle."
A great circle is defined as a circle on the surface of a sphere whose center coincides with the center of the sphere. In a three-dimensional space, a circle is a two-dimensional object, so statement B is not accurate. A great circle is a two-dimensional circle on the surface of a three-dimensional sphere.
C. "The great circle of a sphere is not the same shape as the base of a cone."
The base of a cone is circular in shape. A great circle, as mentioned before, is a circle on the surface of a sphere. Since both the base of a cone and a great circle are circular, statement C is false. The base of a cone can be considered a type of great circle.
D. "The center of a sphere is created from a plane that passes through the sphere."
For this statement, it is important to understand that the center of a sphere is not created by a plane but rather exists naturally as the point equidistant from all points on the sphere's surface. Therefore, statement D is not accurate.
In conclusion, the correct answer is A. The length of the diameter of a sphere is indeed two times the length of the radius of the sphere.