The TSA of a cylinder is 462cm^2 .its CSA is one third of its TSA find the volume of the cylinder
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T.S.A = 2πr(r+h) = 462 cm²
C.S.A = 2 πr h = 1/3rd of 462 = 154 cm ²
C.S.A + 2πr² = T.S.A
154 + 2×22/7× r² = 462
2×22/7 × r ² = 308
r² = (308 × 7) ÷ (2×22) = 49 cm
r = √ 49 = 7cm
C.S.A = 154 cm²
2πrh = 154 cm²
2× 22 / 7 × 7 ×h = 154
44 h = 154
h = 154 ÷ 44= 7/2 cm or 3.5 cm
Volume = πr²h = 22/7 × 7² × 7/2
= 539 cm³
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C.S.A = 2 πr h = 1/3rd of 462 = 154 cm ²
C.S.A + 2πr² = T.S.A
154 + 2×22/7× r² = 462
2×22/7 × r ² = 308
r² = (308 × 7) ÷ (2×22) = 49 cm
r = √ 49 = 7cm
C.S.A = 154 cm²
2πrh = 154 cm²
2× 22 / 7 × 7 ×h = 154
44 h = 154
h = 154 ÷ 44= 7/2 cm or 3.5 cm
Volume = πr²h = 22/7 × 7² × 7/2
= 539 cm³
Please mark brainliest .....
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