a solid cylinder has a total suface area of 231 square cm. Its curved surface is 1 by 3rd of its total surface area. Find volume
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2πrh=1/×231=77
tsa=2πr(h+r)
231=2πrh+2πr^2
231-77=2πr^2
154=2×22/7r^2
7×7/2=r^2
r=7/√2or 3.5√2cm
2×22/7×7/2×√2×h=77
h=7/2√2=7√2/4cm
volume=πr^2h=22/7×7/2×√2×7√2/2×7√2/4
=539√2/4cm^2
hope this is the answer
tsa=2πr(h+r)
231=2πrh+2πr^2
231-77=2πr^2
154=2×22/7r^2
7×7/2=r^2
r=7/√2or 3.5√2cm
2×22/7×7/2×√2×h=77
h=7/2√2=7√2/4cm
volume=πr^2h=22/7×7/2×√2×7√2/2×7√2/4
=539√2/4cm^2
hope this is the answer
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