Question

how many meter of clothe 5 meter wide will be required to make conancial tank the radious of the base is 7meter and height is 24 m​

Answer 1

Given :-

• width of cloth = 5m.
• Radius of Base = 7m..
• Height = 24m.

Formula used :-

• Slant height = √(r)² + (h)²
• CSA of cone = π * r * slant height .
• CSA of conical tent = area of cloth.

Solution :-

→ Radius = 7m .

→ Height = 24m.

→ Slant Height = √[(7)² + (24)²] = √[49+576] = √(625) = 25m.

So,

→ CSA of Cone = (22/7) * (7) * 25 = 550m².

Now,

Let x m of cloth be required to make the tent.

Than ,

→ CSA of conical Tent = Area of cloth.

→ 5 * x = 550

→ x = 110m.

Hence , 110m cloth is required to make the conical tent.

Answer 2

$\huge{\mathbb{\red{Question}}}$

How much meters of cloth 5 meter wide will be required to make a conical tent . the radius of the base is 7 m and height is 24 m.

$\huge{\mathbb{\red{Solution}}}$

Let us first find the CSA of conical tent

given radius of tent, r = 7 m

height of tent , h = 24 m

slant height, l = √(h^2+r^2)

l = √(24^2+7^2)

l = 25 m

CSA of conical tent = π r l

CSA of conical tent = 22/7 * 7 * 25

CSA of conical tent = 550 m²

The given width of cloth is = 5 m

let, length of cloth required = x m

then,

area of cloth = CSA of conical tent

5 * x = 550

x = 550/5

$\boxed{\bf{x=110\:m}}$

Therefore, 110 m of cloth in length is required to make the tent of given dimensions.