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The area of the sector shaped canvas cloth is 264 m² with this canvas cloth, if a right circular conical tent is erected with the radius of the base as 7 cm then find the height of the tent. |
Answer» Answer:1199.99 m Step-by-step EXPLANATION:Given : Area of the sector shaped canvas cloth = 264 m² It is also equal to curved SURFACE area of cone : = > π r L = 264 m² We have radius r = 7 cm = 0.07 m = > 0.07 × 22 / 7 × l = 264 = > 0.01 × 22 × l = 264 = > l = 264 / 0.22 m = > l = 1200 m We have relation between h , r and l : = > l² = h² + r² = > h² = l² - r² = > h² = 1200² - 0.07² m = > h² = ( 1200 + 0.07 ) ( 1200 - 0.07 ) m = > h² = ( 1200.07 ) ( 1199.93 ) m = > h = √ ( 1200.07 ) ( 1199.93 ) m = > h = 1199.99 m Hence we get required answer.When the radius in unit of meter i.e. 7 m : then let's find height h : π r l = 264 m² We have r = 7 m = > 22 / 7 × 7 × l = 264 = > l = 264 / 22 m = > l = 12 m We know : l² = h² + r² = > h² = l² - r² = > h² = 12² - 7² = > h² = ( 12 + 7 ) ( 12 - 7 ) = > h = √ ( 19 × 5 ) m = > h = √ 95 m. |
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