The lateral surface area of a cylinder is 176 cm2 and its base area is 38.5 cm2. What is its volume?
Answer & explanation
Correct answer: option 3
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