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The total surface area of a solid right circular cylinder is 231 cm². its curved surface is 2/3rd of the total surface. find the radius of the base and height.

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by ryadav

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by ryadav

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The Brainliest Answer!

curved surface area = 2πrh

so 2/3 x (2πrh + 2πr²) = 2πrh

2/3 x (h + r ) = h

2h + 2r = 3h

h = 2r

so 2πrh + 2πr² = 231

2πr(h + r) = 231

2πr x 3r = 231

r = √231/6π

r = 3.5 cm

and h = 2r

h = 7 cm

So r = 3.5 cm and h = 7 cm