Question

The area of the curved surface of a solid cylinder is equal to 2 by 3 of the total area of the same cylinder if the total surface of the cylinder is 924 square cm find the radius and height of the cylinder​

PLZ HELP ME Tomorrow there is my math exam

Answer 1

Explanation:

`CSA\: of \:cylinder = 2πrh\\TSA\: of\:cylinder = 2πr(r+h)\\By \: conditions,\\2πrh =(2)/(3)*2πr(r+h)\\3h = 2*(r+h)\\3h = 2r + 2h\\h = 2r\\Also,\\2πr(r+h) = 924\\2*(22)/(7)* r(r+2r) = 924\\ (44)/(7) * r(3r) = 924 \\ 3r^(2) = 924 * (7)/(44) \\ 3r² = 147\\r²=(147)/(3)\\r² = 49\\r=√(47)\\ r = 7\\h = 2 * 7 = 14\\hence\:radius=7cm,\:height=14cm\\`