A conical tent of radius 7 cm and height 24cm is made of cardboard. Find area of cardboard required to make the tent.
Share
A conical tent of radius 7 cm and height 24cm is made of cardboard. Find area of cardboard required to make the tent.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Given :-
To find :-
Solution :-
As we know that
→ Slant height = √(radius)² + (height)²
→ l = √r² + h²
→ l = √(7)² + (24)²
→ l = √49 + 576
→ l = √625
→ l = 25cm
Now,
Area of cardboard required to make conical tent = curved surface area of cone
→ Curved surface area of cone
→ πrl
Put the value of radius and slant height
→ 22/7 × 7 × 25
→ 22 × 25
→ 550cm²
Hence,
GIVEN :-
TO FIND :-
SOLUTION :-
☯︎ Aʀᴇᴀ ᴏғ ᴄᴀʀᴅʙᴏᴀʀᴅ = Cᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴄᴏɴɪᴄᴀʟ ᴛᴇɴᴛ
Cᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ =
Wʜᴇʀᴇ,
✰ Nᴏᴡ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴄᴀʀᴅʙᴏᴀʀᴅ ɪs,
➟ Cᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ =
➪ ᴄ.s.Aʀᴇᴀ = 22/7 × 7 × 25
➪ ᴄ.s.Aʀᴇᴀ = 550 cm²
Tʜᴇ ᴀʀᴇᴀ ᴏғ ᴄᴀʀᴅʙᴏᴀʀᴅ ʀᴇǫᴜɪʀᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ᴛʜᴇ ᴛᴇɴᴛ ɪs "550 cm²" .