Question

The height of a cylinder is 6cm. The three times the sum of the areas of its two circular faces is equal to twice the total surface area. Find the radius of the cylinder.

Answer 1

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Answer 2

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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