if surface area of a cylinder is 462 and its curved surface area is one-third of the total surface area.Find the volume of the cylinder
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2πr(r+h) = 462
1/3 * 462 = 154 = 2πrh
TSA = 2πr^2 + 2πrh = 462
= 2πr^2 + 154 = 462
= 2πr^2 = 308
= πr^2 = 154
= r^2 = √49 = 7 = r
So, 2πrh = 154
2 * 22/7 * 7 * h = 154
h = 3.5
Thus, Volume = 1/3 πr^2h
= 1/3 * 22/7 * 7 * 7 * 3.5
= 179.67.
1/3 * 462 = 154 = 2πrh
TSA = 2πr^2 + 2πrh = 462
= 2πr^2 + 154 = 462
= 2πr^2 = 308
= πr^2 = 154
= r^2 = √49 = 7 = r
So, 2πrh = 154
2 * 22/7 * 7 * h = 154
h = 3.5
Thus, Volume = 1/3 πr^2h
= 1/3 * 22/7 * 7 * 7 * 3.5
= 179.67.
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