Deepika on her way to home …
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Deepika on her way to home saw some homeless persons sleeping. She gave them her canvas of area 551 square metres. They used it to make a conical tent with a base radius of 7 metres. Assuming that all the stitching, margin and wastage incurred while cutting, amounts to approximately 1 square metre, find the volume of the tent that can be made with it?
Posted by Aarohi Mehra 8 years, 9 months ago
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Naveen Sharma 8 years, 9 months ago
Ans. Deepika gave piece of cloth of area 551m2. Using this cloth she makes a conical tent of radius 7 m and during this process 1m2 of cloth got wasted.
Therefore, tent is made from cloth of area = 551m2 - 1 m2 = 550 m2
The above area being the curved surface area of the tent.
Now, we know that curved surface area of cone ={tex}\pi rl{/tex}
{tex}=> {22\over 7}\times 7\times l= 550{/tex}
=> l = 25m
We know,
{tex}=> l^2 = r^2+h^2{/tex}
{tex}=> 625 = 49 + h^2{/tex}
=> h2 = 576
=> h = 24
Volume of conical tent = {tex}{1\over 3}\pi r^2h{/tex}
{tex}=> {1\over 3} \times {22\over 7}\times 49\times 24 {/tex}
=> 1232m3
2Thank You