Sphere (गोला) In Hindi
गोला (Sphere) परिभाषा: गोला एक त्रि-आयामी आकृति है जिसकी प्रत्येक बिंदु सतह से समान दूरी (त्रिज्या) पर स्थित होती है। दूसरे शब्दों में, यह एक बिंदु के चारों ओर समान दूरी पर खींचे गए वृत्त द्वारा उत्पन्न ठोस आकृति है।
गोले के महत्वपूर्ण सूत्र:
- आयतन (Volume): 4/3 πr³
- पृष्ठीय क्षेत्रफल (Surface Area): 4πr²
- व्यास (Diameter): 2r
sphere In English
A sphere is a three-dimensional round object, like a ball. In geometry, it’s defined as the collection of all points that are the same distance away from a specific point in the center, called the center of the sphere. That distance is known as the sphere’s radius.
Radius: The distance between surface and center of the sphere is called its radius.
Diameter: The distance from one point to another point on the surface of the sphere, passing through the center, is called its diameter.
Surface area: The region occupied by the surface of the sphere is called it’s surface area.
Volume: The amount of space occupied by any spherical object is called its volume.
Sphere Formulas
- Surface Area = 4πr²
- Volume = (4/3)πr³
- Diameter = 2r
Properties of Sphere:
A sphere is perfectly symmetrical.
It is not a polyhedron.
All points on the surface are the same distance “r” from the center.
It has no side or corner.
It has constant mean curvature.
It has a constant width and circumference.
The sphere has just one curved face.
It does not have any vertices or edges.
Difference Between a Sphere and a Circle
Circle :
A circle is a two-dimensional shape.
It does not have any volume.
It only extends in two directions: the x-axis and the y-axis.
It has one flat face.
The area of a circle is πr²square units.
Sphere :
A sphere has a three-dimensional shape.
It occupies space means it has volume.
It extends in 3D. Which are the x-axis, y-axis, and z-axis.
It has one curved surface.
The surface area of a sphere is 4πr²square units.
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