The sum of the height and the radius of a solid cylinder is 35 cm and its total surface area is 1540 cm^2; find the volume of the cylinder.
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given r+h = 35cm , Surface area = 1540 cm²
Surface area of cylinder = 2πr(r+h)
1540= 2πr×35
r=1540/70π
r= 22/π
r= 22÷(22/7) , because π=22/7
r=7cm
since r+h = 35
7+h = 35
h= 28
Volume of cylinder = πr²h
V=(22/7)× 7²×28
V = 22×7×28
V = 4312 cm³
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