A CUBICAL BOX OF SIDE 7 CM SURMOUNTED BY SPHERE.WHAT US VOLUME OF BALL
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ᴛʜᴇ ɢʀᴇᴀᴛᴇsᴛ ᴅɪᴀᴍᴇᴛᴇʀ=sɪᴅᴇ ᴏғ ᴛʜᴇ ᴄᴜʙᴇ=7ᴄᴍ.
ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ ʜᴇᴍɪsᴘʜᴇʀᴇ =3.5ᴄᴍ.
ŇØŴ,
ᴛʜᴇ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ sᴏʟɪᴅ=sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄᴜʙᴇ - sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ʙᴀsᴇ ʜᴇᴍɪsᴘʜᴇʀᴇ + ᴄᴜʀᴠᴇ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ʜᴇᴍɪsᴘʜᴇʀᴇ
sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ᴄᴜʙᴇ=6×sɪᴅᴇ^2
=6×7×7=294sǫ ᴄᴍ
sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ʙᴀsᴇ ᴏғ ʜᴇᴍɪsᴘʜᴇʀᴇ ɪs,
=πr 2
=πr 2= 22/7 ×3.5 ^2
=38.5cm 2
=38.5cm 2
ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ᴏғ ʜᴇᴍɪsᴘʜᴇʀᴇ ɪs,
=2×38.5
=77sǫ ᴄᴍ
∴ ᴛᴏᴛᴀʟ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ɪs =294−38.5+77
=332.5sǫ ᴄᴍ.
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