Question

how many metres of cloth 5 m wide will be required to make a conical tent the radius of whose base is 7m and whose height is 24 m

Answer 1

ǫ:ʜᴏᴡ ᴍᴀɴʏ ᴍᴇᴛʀᴇs ᴏғ ᴄʟᴏᴛʜ 5 ᴍ ᴡɪᴅᴇ ᴡɪʟʟ ʙᴇ ʀᴇǫᴜɪʀᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ᴀ ᴄᴏɴɪᴄᴀʟ ᴛᴇɴᴛ ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴡʜᴏsᴇ ʙᴀsᴇ ɪs 7ᴍ ᴀɴᴅ ᴡʜᴏsᴇ ʜᴇɪɢʜᴛ ɪs 24 ᴍ

=>ɢɪᴠᴇɴ,

ʀᴀᴅɪᴜs(ʀ)=7 ᴍ
ʜᴇɪɢʜᴛ(ʜ)=24 ᴍ

•°•sʟᴀɴᴛ ʜᴇɪɢʜᴛ,ʟ=√(ʀ^2 + ʜ^2)= √(7^2 + 24^2) = √625 ᴍ = 25 ᴍ^2

ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ = π ʀ ʟ= 22/7 x 7 x 25ᴍ^2 = 550 ᴍ^2

ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴄʟᴏᴛʜ = 550 ᴍ^2

ɴᴏᴡ, ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ᴄʟᴏᴛʜ = 5 ᴍ
ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴄʟᴏᴛʜ = ᴀʀᴇᴀ/ᴡɪᴅᴛʜ = 550 / 5 = 110ᴍ.

ʜᴇɴᴄᴇ,ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴄʟᴏᴛʜ ɪs 110 ᴍ.

Answer 2

Here your answer goes

Step :-1

Given ,

Radius = 7 m

Height = 24 m

Step :- 2

Slant height ( L ) = $\sqrt{r^2 + h^2 }$

⇒ $\sqrt{(7)^2 + (24)^2 }$

⇒ $\sqrt{625} \ m$

⇒ 25 $m^2$

Step :- 3

Curved Surface Area = $\pi r l$

⇒ $\frac{22}{7} * 7 * 25 m^2$

⇒ 550 $m^2$

Step :- 4

Area = 550 m^2 ( Given  above )

Width = 5 m ( Given in Question )

Length of the cloth = $\frac{Area }{Width }$

⇒ $\frac{550}{5}$

⇒ 110 m

Therefore , the length of the cloth is 110 m

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