Question

How many square meter of cloth is required to prepare four conical tents of diameter 8m and height 3m ( use π=3.14)

Answer 1

$r = 4m \: \: h = 3m \\ area \: of \: cone = \pi \: r \: (h + r) \\ 3.14 \times 4(3 + 4) \\ 12.56 \times 7 \\ 87.92$
here is your answer...

Answer 2

Answer:

Given diameter of tent = 8m

Given height of tent = 3m

radius of tent =>

$\frac{diameter}{2}\\ \\\frac{8}{2}\\ \\4m$

Step-by-step explanation:

Cloth required to make conical tent = Curved surface area of the tent

As we know that a conical tent is shaped like a cone

Therefore,

Curved Surface area of cone = πrl

where, r is the radius and l is the slant height of the cone.

slant height can be found by pythagoras theorem

$l^{2} = r^{2} + h^{2}$

$l^{2} = 4^{2}+3^{2}\\\\l^{2}=16+9\\\\l^{2} =25\\\\ l=\sqrt{25}\\\\l=5m$

Now Curved Surface Area = 3.14 × 4 × 5

62.8 $m^{2}$

Cloth required for 1 tent = $62.8{m}^2$

Cloth required for 4 tents = 62.8 × 4

Cloth required for 4 tents = $251.2m^{2}$