A solid cylinder has total surface area 462cm2.If total surface area of the cylinder is thrice of its curved surface area.Then the volume of the cylinder is?
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Answered by
1
Total surface area of solid cylinder = 2πr(r+h)
462 = 2πr(r+h) ......(1)
TSA = 3CSA
462 = 3( 2πrh )
2πrh = 154 .....(2)
From (1)
462 = 2πrh + 2πr²
462 = 154 + 2πr²
2πr² = 308
πr² = 154
r² = (154 × 7)/22
r² = 49
r = 7 cm
2π(7)(7+h) = 462
44( 7+h ) = 462
(7+h) = 10.5
h = 3.5 cm
Volume of solid cylinder = πr²h
= π(7)²(3.5)
= 22(7)(3.5)
= 154 cm³
462 = 2πr(r+h) ......(1)
TSA = 3CSA
462 = 3( 2πrh )
2πrh = 154 .....(2)
From (1)
462 = 2πrh + 2πr²
462 = 154 + 2πr²
2πr² = 308
πr² = 154
r² = (154 × 7)/22
r² = 49
r = 7 cm
2π(7)(7+h) = 462
44( 7+h ) = 462
(7+h) = 10.5
h = 3.5 cm
Volume of solid cylinder = πr²h
= π(7)²(3.5)
= 22(7)(3.5)
= 154 cm³
Answered by
2
The volume of the cylinder is 5.39cm^3.
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