Question

Area of base of conical tent is 154m sq. and 24m high. Find the area of Canvas used in the tent.​

Answer 1

Answer:

Area of canvas =396$m^{2}$

Step-by-step explanation:

According to the information provided in the question it is given as

Area of base of conical tent = 154 m sq.

Height = 24 cm

We need to find the area of canvas used in tent

Here actually it is seen to find the area of cone

So by using formula of area of cone w get the values

A = $\pi r(r+ \sqrt{h^{2} } +r^{2}$

Now

The base  area = 154 m sq = Area of circle

Area of circle=$\pi r^{2}$

$154=\frac{22}{7} \times r^{2}$

$154= \frac{22}{7} \times r^{2}$

$154 =3.142 r^{2}$

$r^{2} =\frac{154}{3.142} \\r^{2} =49.01$

$r=\sqrt{49} \\r=7 m$

(Substituting this value of r in the formula )

$A=\pi r(r+ \sqrt{h^{2} } +r^{2}$

$A=\frac{22}{7} \times 7 (7+\sqrt{24^{2} } +7^{2})$

$A =\frac{22}{7} \times 49+4+7\\A=22\times 7+4+7\\A= 22\times 18\\A= 396 m^{2}$

Hence area of canvas = 396$m^{2}$