5. A solid cylinder has total surface area of 462 sq cm. Its curved area is one third of its total surface area. Find the volume of the cylinder. Take t = ) 22 /7
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☘️ Answer :
- Volume of the cylinder = 539 cm²
☘️ Solution :
TSA of cylinder = 462 cm²
CSA of cylinder = 1/3(TSA of cylinder
= 1/3(462)
= 154
→ 2πr² + 156 = 462
→ 2πr² = 462 - 156
→ 2 × 22/7 × r² = 308
→ r² = 308×7/2×22
→ r = √49
→ r = 7
→ 2πrh = 154
→ 2 × 22/7 × 7 × h = 154
→ h = 154/2×22
→ h = 7/2 cm
Therefore, volume of cylinder = 2πr²h
= 22/7 × 7 × 7 × 7/2
= 539 cm³
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