the height of a cylinder is 6cm . the three times the sum of its two circular faces is equal to twice the total surface area . find the radius of the cylinder. ( kindly don't type irrelevant responses in the answer box )
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ᘜIᐯᗴᑎ :-
- Height of cylinder = 6cm.
- The three times the sum of the areas of its two circular faces is equal to twice the total surface area.
TO ᖴIᑎᗪ :-
- The radius of the cylinder.
ՏOᒪᑌTIOᑎ :-
We know :
❥︎ Area of circular face = 2πr^2
❥︎ Total surface area = 2πr(r+h)
Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ǫᴜᴇsᴛɪᴏɴ :-
» 3(2πr^2) = 2[2πr(r+h)]
» 6πr^2 = 4πr^2 + 4πrh
» 2πr^2 = 2πrh
» r = h
Given that , h = 6cm.
Therefore,
❥︎ Rᴀᴅɪᴜs ᴏғ ᴄʏʟɪɴᴅᴇʀ = 6ᴄᴍ.
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