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A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained. - Mathematics

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प्रश्न

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

योग

उत्तर

When right-angled ΔABC is revolved about its side 12 cm, a cone with height (h) as 12 cm, radius (r) as 5 cm, and slant height (l) 13 cm will be formed.

Volume of cone = `1/3pir^2h`

= `[1/3xx pi xx(5)^2xx12]cm^3`

= 100π cm3

Therefore, the volume of the cone so formed is 100π cm3.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Surface Area and Volumes - Exercise 13.7 [पृष्ठ २३३]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 13 Surface Area and Volumes
Exercise 13.7 | Q 7 | पृष्ठ २३३

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