The lateral surface area of a cylinder is 176 cm² and its base area is 38.5 cm². What is its volume?

308 cm³

Base area of a cylinder = 38.5 cm²

⇒ πr² = 38. 5 cm² ⇒ $r=\frac{7}{2}cm$

Latest surface area = 176 cm²

⇒ 2πrh = 176 cm²

⇒ h = 8 cm

∴ Volume = $πr^2h=\frac{22}{7}×(\frac{7}{2})^2×8=308cm^3$

Hence, volume of the cylinder = 308 cm³