(B) Given: Base radius $(r) = 6\, m$,Height $(h) = 8\, m$.Slant height $(l) = \sqrt{r^2 + h^2} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\,

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(B) Given: Base radius $(r) = 6\, m$,Height $(h) = 8\, m$.Slant height $(l) = \sqrt{r^2 + h^2} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\, m$.Curved surface area of the tent $= \pi rl = 3.14 \times 6 \times 10 = 188.4\, m^2$.Let the length of the tarpaulin be $L$. Since the width is $3\, m$,the area is $L \times 3 = 188.4\, m^2$.$L = \frac{188.4}{3} = 62.8\, m$.Extra length for margins and wastage $= 20\, cm = 0.2\, m$.Total length required $= 62.8\, m + 0.2\, m = 63.0\, m$.

Class 9 Mathematics Surface Areas and Volumes Textbook - Surface Areas and Volumes

Medium

What length of tarpaulin $3\, m$ wide will be required to make a conical tent of height $8\, m$ and base radius $6\, m$ (in $, m$)? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20\, cm$ (Use $\pi = 3.14$).

A
$96.0$
B
$63.0$
C
$90.0$
D
$100.0$

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Surface Areas and Volumes

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Textbook - Surface Areas and Volumes

It costs $Rs. 2200$ to paint the inner curved surface of a cylindrical vessel $10\, m$ deep. If the cost of painting is at the rate of $Rs. 20$ per $m^2$,find the capacity of the vessel. (in $, kl$)

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$A$ hemispherical bowl has a radius of $3.5\, cm$. What would be the volume of water it would contain (in $, cm^{3}$)?

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The slant height and base diameter of a conical tomb are $25 \, m$ and $14 \, m$ respectively. Find the cost of white-washing its curved surface at the rate of $Rs. 210$ per $100 \, m^2$.

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The capacity of a cuboidal tank is $50000$ litres of water. Find the breadth of the tank,if its length and depth are respectively $2.5\, m$ and $10\, m$. (in $, m$)

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$A$ conical tent is $10 \, m$ high and the radius of its base is $24 \, m$. Find the slant height of the tent. (in $, m$)

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What length of tarpaulin $3\, m$ wide will be required to make a conical tent of height $8\, m$ and base radius $6\, m$ (in $, m$)? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20\, cm$ (Use $\pi = 3.14$).

Similar Questions

It costs $Rs. 2200$ to paint the inner curved surface of a cylindrical vessel $10\, m$ deep. If the cost of painting is at the rate of $Rs. 20$ per $m^2$,find the capacity of the vessel. (in $, kl$)

$A$ hemispherical bowl has a radius of $3.5\, cm$. What would be the volume of water it would contain (in $, cm^{3}$)?

The slant height and base diameter of a conical tomb are $25 \, m$ and $14 \, m$ respectively. Find the cost of white-washing its curved surface at the rate of $Rs. 210$ per $100 \, m^2$.

The capacity of a cuboidal tank is $50000$ litres of water. Find the breadth of the tank,if its length and depth are respectively $2.5\, m$ and $10\, m$. (in $, m$)

$A$ conical tent is $10 \, m$ high and the radius of its base is $24 \, m$. Find the slant height of the tent. (in $, m$)

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