In a SUPW class, 20 student made pen stand of cupboard. the base of the pen stand is a circle with radius 3.5 cm and height of the pen stand is 10.5 cm .find how much cupboard was used by each. how much glazed paper is used on its outer surface also find the total cupboard and glazed paper used by the whole class .
Answers
Cardboard was used by each student=
Glazed paper is used on its curved surface =
Total cardboard used by class=
Total glazed paper used by the class=
Step-by-step explanation:
Radius of base=r=3.5 cm
Height of pen stand=h=10.5 cm
Cardboard was used by each student=
?f=%24%242%5Cpi%20rh%2B%5Cpi%20r%5E2%3D%5Cpir(2h%2Br)%24%24
\pi=\frac{22}{7}
Substitute the values then we get
Cardboard was used by each student=
\frac{22}{7}\times 3.5(2\times 10.5+3.5)
Cardboard was used by each student=
269.5 cm^2
Glazed paper is used on its curved surface =
2\pi rh=2\times \frac{22}{7}\times 3.5\times 10.5=231cm^2
Glazed paper is used on its curved surface =
231cm^2
Total cardboard used by class=
20\times 269.5=5390cm^2
Total glazed paper used by the class=
231\times 20=4620cm^2
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⎟⎟ ✪✪ ＱＵＥＳＴＩＯＮ ✪✪⎟⎟
ɪɴ ᴀ sᴜᴘᴡ ᴄʟᴀss, 20 sᴛᴜᴅᴇɴᴛ ᴍᴀᴅᴇ ᴘᴇɴ sᴛᴀɴᴅ ᴏғ ᴄᴜᴘʙᴏᴀʀᴅ. ᴛʜᴇ ʙᴀsᴇ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ ɪs ᴀ ᴄɪʀᴄʟᴇ ᴡɪᴛʜ ʀᴀᴅɪᴜs 3.5 ᴄᴍ ᴀɴᴅ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ ɪs 10.5 ᴄᴍ .ғɪɴᴅ ʜᴏᴡ ᴍᴜᴄʜ ᴄᴜᴘʙᴏᴀʀᴅ ᴡᴀs ᴜsᴇᴅ ʙʏ ᴇᴀᴄʜ. ʜᴏᴡ ᴍᴜᴄʜ ɢʟᴀᴢᴇᴅ ᴘᴀᴘᴇʀ ɪs ᴜsᴇᴅ ᴏɴ ɪᴛs ᴏᴜᴛᴇʀ sᴜʀғᴀᴄᴇ ᴀʟsᴏ ғɪɴᴅ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴄᴜᴘʙᴏᴀʀᴅ ᴀɴᴅ ɢʟᴀᴢᴇᴅ ᴘᴀᴘᴇʀ ᴜsᴇᴅ ʙʏ ᴛʜᴇ ᴡʜᴏʟᴇ ᴄʟᴀss .
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⎟⎟ ✰✰ ＡＮＳＷＥＲ ✰✰ ⎟⎟
★ ɴᴏ ᴏғ sᴛᴜᴅᴇɴᴛs ɪɴ ᴛʜᴇ SUPW ᴄʟᴀss = 20
★ ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ʙᴀsᴇ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ, ʀ = 3.5 ᴄᴍ
★ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ, h = 10.5 cm
ᴛᴏᴛᴀʟ ᴄᴀʀᴅʙᴏᴀʀᴅ ʀᴇϙᴜɪʀᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ᴏɴᴇ ᴘᴇɴ sᴛᴀɴᴅ ɢɪᴠᴇɴ ʙʏ,
= [CSA of a cylinder] + [CSA of base of pen stand]
➪ [ 2 πrh ] + [ πr² ]
➪ πr [ 2h + r ]
➪ (22/7) * 3.5 * [ ( 2*10.5 ) + 3.5 ]
➪ (22/7) * 3.5 * 24.5
➪ 269.5 cm²
ɢʟᴀᴢᴇᴅ ᴘᴀᴘᴇʀ ᴜsᴇᴅ ᴏɴ ᴛʜᴇ ᴏᴜᴛᴇʀ ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ ɪs ɢɪᴠᴇɴ ʙʏ,
= [ᴄᴀʀᴅʙᴏᴀʀᴅ ʀᴇϙᴜɪʀᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ᴏɴᴇ ᴘᴇɴ sᴛᴀɴᴅ] - [ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʙᴀsᴇ ᴏғ ᴛʜᴇ ᴘᴇɴ sᴛᴀɴᴅ]
➪ 269.5 - [π²]
➪ 269.5 - [ (22/7) * (3.6)²]
➪ 269.5 - 38.5
➪ 331 cm²
= 20 * [ (ᴛᴏᴛᴀʟ ᴄᴀʀᴅʙᴏᴀʀᴅ ᴜsᴇᴅ ғᴏʀ ᴇᴀᴄʜ ᴘᴇɴsᴛᴀɴᴅ) + (ᴛᴏᴛᴀʟ ɢʟᴀᴢᴇᴅ ᴘᴀᴘᴇʀ ᴜsᴇᴅ ᴏɴ ᴛʜᴇ ᴏᴜᴛᴇʀ ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴏғ ᴇᴀᴄʜ ᴘᴇɴ sᴛᴀɴᴅ) ]
➪ 20 * [ 269.5 + 231 ]
➪ 20 * 500.5
➪ 10010 cm²
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