Question

A tent is in the shape of cone .If the height and diameter of the tent are 5m and 24m .Find the area of the canvas required for making the tent .Also find the cost of the canvas required to make the tent

Answer 1

for this you have to find the curved surface area

Answer 2

Answer

☞ Area of the canvas needed is 2262.85

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$\huge\sf\blue{Given}$

✭ There is a conical tent made up of canvas

✭ Its height 18 m and diameter is 48 m

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$\huge\sf\gray{To \:Find}$

◈ The area of the canvas needed?

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$\huge\sf\purple{Steps} \\ </p><p></p><p>\sf \large\underline{\underline{\sf Concept}} </p><p></p><p>$

So here we have to find the CSA of the cone, this is because here we are asked the area of the canvas and not the area of the whole tent, as we won't cover the bottom part CSA would give us our Answer!!

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CSA of a cone is given by,

$\underline{\boxed{\sf CSA_{Cone} = \pi rl}} </p><p>$

First we shall find the radius,

$»» \sf Radius = \dfrac{Diameter}{2}$

$»» \sf Radius = \dfrac{48}{2}$

$»» \sf \green{Radius = 24 \ m}$

Now the Slant height of the cone,

$➳ \sf L = \sqrt{r^2+h^2}$

$➳ \sf L = \sqrt{24^2+18^2}$

$➳ \sf L = \sqrt{576+324}$

$➳ \sf L = \sqrt{900}</p><p>$

$➳ \sf \red{Length = 30 \ m}$

Substituting these values in the formula to find CSA of cone,

$➝ \sf CSA_{Cone} = \pi$

$➝ \sf CSA = \dfrac{22}{7} \times 24\times 30$

$➝ \sf \orange{CSA = 2262.85 \ m^2}$

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