The ratio between the curved surface area and the total surface area of a cylinder is 1:2. Find the ratio between the hright and the radius of the cylinder
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the CSA and TSA of the cylinder are in ratio of 1:2, if the TSA of the cylinder is 616cm² then the CSA will be=616/2
=308cm²
CSA of the cylinder=308cm²
2πrh/2πr(h+r)=1/2
h/h+r=1/2
h+r=2h
h=r
Curved surface area = 2πrh = 2πr²= 308 [Since h = r]
2πr²=308cm²
2×22/7×r²=308cm²
44/7×r²=308cm²
r²=308/1×7/44
r²=49
r=√49
r=7cm
therefore height of the cylinder will also be 7cm
volume of the cylinder=πr²h
=22/7×7×7×7
=22×7×7
=1078cm³
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