Question

The volume of cylinder is 3080.cm3 d the height is 20cm. Find the area of curved surfce.​

Answer 1

Answer:

154 cm2

Step-by-step explanation:

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Answer 2

Given :

• Volume of Cylinder = 3080cm³
• Height of the Cylinder = 20cm

To Find :

• Curved Surface Area of Cylinder

Formulas Used :

• Volume of Cylinder = πr²h
• CSA of Cylinder = 2πrh

Solution :

For finding the Curved Surface Area of the Cylinder we need Radius also . So firstly we will find the Radius of the Cylinder after that we will use the formula of Curved Surface Area of Cylinder . For finding the Radius of the Cylinder we will use the formula of Volume of Cylinder as in the Question Volume is given.

Finding the Radius of the Cylinder :

• Volume = π × (radius)² × height
• 3080 = 22/7 × (radius)² × 20
• 3080/20 = 22/7 × (radius)²
• 154 = 22/7 × (radius)²
• 154 × 7 = 22 × (radius)²
• 1078 = 22 × (radius)²
• 1078/22 = (radius)²
• 49 = (radius)²
• √49 = radius
• 7cm = radius

Finding the Curved Surface Area :

• Curved Surface Area = 2πrh
• Curved Surface Area = 2 × 22/7 × 7 × 20
• Curved Surface Area = 2 × 22 × 20
• Curved Surface Area = 44 × 20
• Curved Surface Area = 880cm²

Therefore :

• Curved Surface Area of the Cylinder is 880cm²

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