Math, asked by mishraswati230624, 5 months ago

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 )​

Answers

Answered by EnchantedGirl
20

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.

____________________

Answered by Anonymous
0

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