a solid cylinder has a total surface area of a 231cm. the curved surface area is 2/3 of the total surface area. find the volume of cylinder ?
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Answer:
TSA =231
CSA = 2/3 of TSA
= 2/3×231 = 154
2πrh = 154
TSA = 2πrh + 2πr²
231= 154+2×22/7×r²
231-154= 44/7r²
77×7/44 = r²
√49/4 = r
7/2 = r
3.5 = r
CSA =154
2πrh = 154
2×22/7×35/10×h = 154
h = 7 cm
Volume = πr²h
= 22/7 × 35/10×35/10×7
= 49×11/2
= 539/2
= 269.5 cm³
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