a solid cylinder has total surface area of 462 square centimeters its curved surface area is one third of its total surface area find the volume of the cylinder
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Answered by
8
2(pi)R(R+H)=462
2(pi)R² + 2(pi)RH=462
2(pi)R² + 154=462
R²=308/2(pi)
R²=49
R=7
Since, 2(pi)RH=154
H=154/2(pi)R
H=7/2
Volume=(pi)R²H=539
2(pi)R² + 2(pi)RH=462
2(pi)R² + 154=462
R²=308/2(pi)
R²=49
R=7
Since, 2(pi)RH=154
H=154/2(pi)R
H=7/2
Volume=(pi)R²H=539
Answered by
7
TSA = CSA + 2πr²
= 1/3 TSA + 2πr²
TSA - 1/3 TSA = 2πr²
2/3 TSA = 2πr²
2/3 × 462 = 2πr²
r² = 49
r = 7
CSA = 154
2πrh = 154
2×22/7×7×h = 154
h = 154/44
h = 7/2
V = πr²h
= 22/7 × 7² × 7/2
=11 × 49
= 539 cm³
∴ the volume is 539 cm³
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= 1/3 TSA + 2πr²
TSA - 1/3 TSA = 2πr²
2/3 TSA = 2πr²
2/3 × 462 = 2πr²
r² = 49
r = 7
CSA = 154
2πrh = 154
2×22/7×7×h = 154
h = 154/44
h = 7/2
V = πr²h
= 22/7 × 7² × 7/2
=11 × 49
= 539 cm³
∴ the volume is 539 cm³
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