Question

ᴀ ʟᴇᴀᴅ ᴘᴇɴᴄɪʟ ᴄᴏɴsɪsᴛs ᴏғ ᴀ ᴄʏʟɪɴᴅᴇʀ ᴏғ ᴡᴏᴏᴅ ᴡɪᴛʜ ᴀ sᴏʟɪᴅ ᴄʏʟɪɴᴅᴇʀ ᴏғ ɢʀᴀᴘʜɪᴛᴇ ғɪʟʟᴇᴅ ɪɴ ᴛʜᴇ ɪɴᴛᴇʀɪᴏʀ. ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴀᴛ ᴛʜᴇ ᴘᴇɴᴄɪʟ ɪs 7 ᴍᴍ ᴀɴᴅ ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ɢʀᴀᴘʜɪᴛᴇ ɪs 1 ᴍᴍ. ɪғ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴘᴇɴᴄɪʟ ɪs 14 ᴄᴍ, ғɪɴᴅ ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴡᴏᴏᴅ ᴀɴᴅ ᴛʜᴀᴛ ᴏғ ᴛʜᴇ ɢʀᴀᴘʜɪᴛᴇ.​

Answer 1

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Given:

⇒Radius of pencil = 7/2mm=3.5mm

⇒0.35cm =rp

⇒h=14cm,

Radius of graphite = 1/2mm=0.05cm

➥Volume of wood in pencil =π(rp²−rg²)h

⇒ 22/7 [(0.35)²−(0.05)²]14

⇒ 22/7 (0.1225−0.0025)×14

⇒44×0.12=5.28cm³

➥Volume of a graphite =πrg²h

⇒ 22/7×(0.05)²×14cm³

⇒44×0.0025cm³

⇒0.11cm³

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Answer 2

Given:

⇒Radius of pencil = 7/2mm=3.5mm

⇒0.35cm =rp

⇒h=14cm,

Radius of graphite = 1/2mm=0.05cm

➥Volume of wood in pencil =π(rp²−rg²)h

⇒ 22/7 [(0.35)²−(0.05)²]14

⇒ 22/7 (0.1225−0.0025)×14

⇒44×0.12=5.28cm³

➥Volume of a graphite =πrg²h

⇒ 22/7×(0.05)²×14cm³

⇒44×0.0025cm³

⇒0.11cm³