Question

Lateral surface area of a cylinder is 150 cm² and height is 10 cm. find radiu s and volume take pi 3.14 ​

Spamer Not Allowed !!​

Answer 1

Answer :

• Radius of cylinder = 2.38 cm
• Volume of cylinder = 177.72 cm³

Given :-

• Lateral surface area of cylinder = 150 cm²
• Height of cylinder = 10 cm

To Find :-

• Radius of cylinder and volume of cylinder ?

Solution :-

• Lateral surface area is also known as curved surface area (CSA). Here, using formula of CSA of cylinder to find it's radius. As we know that,
• CSA of cylinder = 2πrh

Where,

• r denotes radius of cylinder
• h denotes height of cylinder

We have,

• h = 10 cm
• π = 3.14
• CSA of cylinder = 150 cm²

• Putting values in formula,

➻ 150 = 2 × 3.14 × r × 10

➻ 150 = 2 × 3.14 × 10 × r

➻ 150 = 2 × 31.4 × r

➻ 150 = 62.8 × r

➻ r = 150/62.8

➻ r = 2.38

➻ r = 2.38 cm

• Hence, radius of base of cylinder is 2.38 cm (approx).

Now, using formula of volume of cylinder to find it's volume. As we know that,

• Volume of cylinder = πr²h

Where,

• r denotes radius of radius
• h denotes height of cylinder

We have,

• r = 2.38 cm
• h = 10 cm
• π = 3.14

• Putting all values,

➻ Volume of cylinder = 3.14 × (2.38)² × 10

➻ Volume of cylinder = 3.14 × 10 × (2.38)²

➻ Volume of cylinder = 31.4 × (2.38)²

➻ Volume of cylinder = 31.4 × 2.38 × 2.38

➻ Volume of cylinder = 31.4 × 5.66

➻ Volume of cylinder = 177.72 cm³

• Hence, volume of cylinder is 177.72 cm³ (approx).

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Answer 2

Answer:

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