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A conical tent is 10m high and the radiu...

A conical tent is 10m high and the radius of its base is 24m. Find the slant height of the tent. If the cost of `1m^2` convas is Rs. 70, find the cost of the canvas required to make the tent.

Text Solution

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Height `h=10m`
Radius `r=24m`
Slant height`=(h^2+r^2)`
`=sqrt(10^2+24^2)=26m`
Surface area of canvas
`=`surface area of cone
`=pirxx`slant height`=(22/7xx24xx26)m^2`
Total cost of canvas required to make the tent
`=`surface area of canvas`xx`rate
`=22/7xx24xx26xx70`
`=22xx24xx26xx10`
`=Rs. 137280`
`therefore` The slant height of the tent`=26m`
Total cost of canvas required to make the tent`=Rs. 137280`
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