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| 1. |
A right circular cone of radius 3 cm and CSA is47.1 find volume |
| Answer» Given, Radius of the cone, r = 3cmCurved surface area of the cone = 47.1 cm2\xa0{tex}\\pi r l = 47.1{/tex}{tex}\\therefore \\quad l = \\frac { 47.1 } { 3 \\times 3.14 } = 5 \\mathrm { cm }{/tex}{tex}h = \\sqrt { 5 ^ { 2 } - 3 ^ { 2 } } = 4 \\mathrm { cm }{/tex}Slant\xa0height of the cone = 5cmHeight of the cone = 4cmVolume of cone\xa0{tex}= \\frac { 1 } { 3 } \\pi r ^ { 2 } h{/tex}{tex}= \\frac { 1 } { 3 } \\times 3.14 \\times 3 \\times 3 \\times 4{/tex}{tex}= 37.68 \\mathrm { cm } ^ { 3 }{/tex}Volume of the cone = 37.68cm3 | |