The height of the right circular cylinder is 11 cm. If the curved surf

1.	The height of the right circular cylinder is 11 cm. If the curved surface area of the cylinder is 242 cm2, find the volume of the cylinder?1. 467.5 cm32. 486.5 cm33. 423.5 cm34. 411.5 cm3
Answer» Correct Answer - Option 3 : 423.5 cm³ Given: Height of cylinder = 11 cm Curved surface area = 242 cm² Formula used: Volume of cylinder = πr²h CSA of cylinder = 2πrh Calculation: ∵ CSA of cylinder = 2πrh ⇒ 242 = (2 × 22 × r × 11)/7 ⇒ 242 × 7 = 2 × 22 × r × 11 ⇒ (242 × 7)/(2 × 22 × 11) = r ⇒ r = 7/2 cm ∵ Volume of cylinder = πr²h ⇒ Volume of cylinder = (22/7) × (49/4) × 11 = 847/2 cm3 = 423.5 cm3

The height of the right circular cylinder is 11 cm. If the curved surface area of the cylinder is 242 cm2, find the volume of the cylinder?1. 467.5 cm32. 486.5 cm33. 423.5 cm34. 411.5 cm3

Answer» Correct Answer - Option 3 : 423.5 cm³

Given:

Height of cylinder = 11 cm

Curved surface area = 242 cm²

Formula used:

Volume of cylinder = πr²h

CSA of cylinder = 2πrh

Calculation:

∵ CSA of cylinder = 2πrh

⇒ 242 = (2 × 22 × r × 11)/7

⇒ 242 × 7 = 2 × 22 × r × 11

⇒ (242 × 7)/(2 × 22 × 11) = r

⇒ r = 7/2 cm

∵ Volume of cylinder = πr²h

⇒ Volume of cylinder = (22/7) × (49/4) × 11

= 847/2 cm3

= 423.5 cm3

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The height of the right circular cylinder is 11 cm. If the curved surface area of the cylinder is 242 cm2, find the volume of the cylinder?1. 467.5 cm32. 486.5 cm33. 423.5 cm34. 411.5 cm3

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