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What is the curved surface area of cylinder if the height of cylinder is 30 meters? 
1. 1310 m2
2. 1300 m2
3. 1320 m2
4. 1340 m2
5. 1280 m2

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Correct Answer - Option 3 : 1320 m2

Given:

The distance is travelled by him = 10 km

Reaching time = 50 minutes

⇒ (5/6) hours

The volume of a cylinder = 4620 m3

And the height of a cylinder = 30 m 

The volume of a cone = (1/7) × the volume of a cylinder

And the height of a cone = 10 m

Reduce time = (50 - 10)

⇒ 40 minutes

⇒ 40/60 hours

⇒ 2/3 hours 

Formula used:

Speed = (Distance/Time)

The volume of cylinder = πr2h

The curved surface area of a cylinder = 2πrh, where r is the radius of a cylinder and h is the height of a cylinder.

The volume of a cone = (1/3)πR2H, where R is the radius of a cone, H is the height of a cone and π is 22/7

The slant height of a cone = √(height2 + radius2)

Calculation:

The volume of cylinder = (22/7) × r2 ×  30

⇒ 4620 = (22/7) × r2 ×  30

⇒ r2 = (4620 × 7)/(30 × 22)

⇒ r2 = 49

⇒ r = √(49)

⇒ r = 7 m

The curved surface area of a cylinder = 2 × (22/7) × 7 × 30

⇒ 1320 m2

∴ The curved surface area of a cylinde is 1320 m2  

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