गोले का आयतन - Revision history

Mani: added content

2024-09-10T04:18:12Z

added content

← Older revision		Revision as of 09:48, 10 September 2024
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	~~The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three~~-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere. When the circle is rotated, ~~we will observe the change of shape. Thus~~, ~~the three~~-~~dimensional shape sphere is obtained from the rotation of the two~~-~~dimensional object called a circle.~~		किसी गोले का आयतन गोले के भीतर व्याप्त स्थान की मात्रा है। गोले को एक त्रि-आयामी गोल ठोस आकृति के रूप में परिभाषित किया गया है, जिसकी सतह पर प्रत्येक बिंदु इसके केंद्र से समान दूरी पर है। निश्चित दूरी को गोले की त्रिज्या कहा जाता है और निश्चित बिंदु को गोले का केंद्र कहा जाता है। जब वृत्त को घुमाया जाएगा तो हम आकृति में परिवर्तन देखेंगे। इस प्रकार, द्वि-आयामी वस्तु जिसे वृत्त कहा जाता है, के घूर्णन त्रि-आयामी आकार का गोला प्राप्त होता है।

	~~The formula to find the volume of sphere is given by~~:		गोले का आयतन ज्ञात करने का सूत्र इस प्रकार दिया गया है:

	'''~~Volume of sphere~~ =''' <math>\frac{4}{3}\pi r^3</math>		'''गोले का आयतन =''' <math>\frac{4}{3}\pi r^3</math>

	~~where~~ r ~~is the radius of the sphere.~~		जहाँ r गोले की त्रिज्या है।

	~~Since a hemisphere is half of a sphere~~, ~~the volume of a~~		चूँकि एक गोलार्ध एक गोले का आधा होता है, गोलार्ध का आयतन इस प्रकार दिया जाता है

	~~hemisphere is given by~~		'''गोलार्ध का आयतन=''' <math>\frac{2}{3}\pi r^3</math>

	~~'''Volume of hemisphere =''' <math>\frac{2}{3}\pi~~ r~~^3</math>~~		जहाँ r गोलार्ध की त्रिज्या है।

	~~where r is the radius of the hemisphere~~.		== उदाहरण ==
			1.<math>11.2</math> cm त्रिज्या वाले एक गोले का आयतन ज्ञात कीजिए।

	~~== Examples ==~~		हल: आवश्यक आयतन= <math>\frac{4}{3}\pi r^3</math>=<math>\frac{4}{3}\times \frac{22}{7}\times (11.2)^3=5887.32</math> cm<sup>3</sup>
	~~1.Find the volume of a sphere of radius <math>11.2</math>cm.~~

	~~Solution~~: ~~Required volume~~ = <math>\frac{4}{3}\pi r^3</math>=<math>\frac{4}{3}\times \frac{22}{7}\times (11.2)^3=5887.32</math> cm<sup>3</sup>

	[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]

Mani at 04:05, 10 September 2024

2024-09-10T04:05:52Z

← Older revision		Revision as of 09:35, 10 September 2024
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			The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere. When the circle is rotated, we will observe the change of shape. Thus, the three-dimensional shape sphere is obtained from the rotation of the two-dimensional object called a circle.

			The formula to find the volume of sphere is given by:

			'''Volume of sphere =''' <math>\frac{4}{3}\pi r^3</math>

			where r is the radius of the sphere.

			Since a hemisphere is half of a sphere, the volume of a

			hemisphere is given by

			'''Volume of hemisphere =''' <math>\frac{2}{3}\pi r^3</math>

			where r is the radius of the hemisphere.

			== Examples ==
			1.Find the volume of a sphere of radius <math>11.2</math>cm.

			Solution: Required volume = <math>\frac{4}{3}\pi r^3</math>=<math>\frac{4}{3}\times \frac{22}{7}\times (11.2)^3=5887.32</math> cm<sup>3</sup>

	[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]
	~~Volume of a sphere~~

Mani at 04:13, 18 August 2023

2023-08-18T04:13:35Z

← Older revision		Revision as of 09:43, 18 August 2023
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	[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]
			Volume of a sphere

Ramamurthy: Category updated

2023-08-06T08:15:58Z

Category updated

← Older revision		Revision as of 13:45, 6 August 2023
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	~~[[Category:क्षेत्रमिति]]~~
	[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:29, 4 August 2023

2023-08-04T05:29:35Z

← Older revision		Revision as of 10:59, 4 August 2023
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	[[Category:क्षेत्रमिति]]		[[Category:क्षेत्रमिति]]
	[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:22, 4 August 2023

2023-08-04T05:22:30Z

← Older revision		Revision as of 10:52, 4 August 2023
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	[[Category:क्षेत्रमिति]]		[[Category:क्षेत्रमिति]]
	[[Category:पृष्ठीय क्षेत्रफल और आयतन]]		[[Category:पृष्ठीय क्षेत्रफल और आयतन]][[Category:कक्षा-9]]

Mani: added category

2023-04-21T10:28:33Z

added category

← Older revision		Revision as of 15:58, 21 April 2023
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	[[Category:क्षेत्रमिति]]		[[Category:क्षेत्रमिति]]
			[[Category:पृष्ठीय क्षेत्रफल और आयतन]]

Sarika at 10:51, 18 April 2023

2023-04-18T10:51:33Z

← Older revision		Revision as of 16:21, 18 April 2023
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	~~[[Category:गणित]]~~
	[[Category:क्षेत्रमिति~~]][[Category: कक्षा -9~~]]		[[Category:क्षेत्रमिति]]

Sarika at 06:13, 21 March 2023

2023-03-21T06:13:28Z

← Older revision		Revision as of 11:43, 21 March 2023
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	[[Category:गणित]]		[[Category:गणित]]
	[[Category:क्षेत्रमिति]]		[[Category:क्षेत्रमिति]][[Category: कक्षा -9]]

Mani: added category

2023-01-27T13:21:54Z

added category

← Older revision	Revision as of 18:51, 27 January 2023
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		[[Category:गणित]]
		[[Category:क्षेत्रमिति]]