Question

Curved surface area of a triangle circular cylinder of hight 14cm is 88cm square. Find the diameter of the base of the cylinder​

Answer 1

Given :-

• CSA of cylinder = 88 cm²
• Height of cylinder = 14 cm

To Find :-

• Diameter of the base of the cylinder = ?

Formula used :-

• CSA of cylinder = 2πrh

• Diameter = 2 × Radius

Solution :-

• In the given question we have to calculate the diameter of the base of the cylinder. To find diameter first we have to calculate the radius of cylinder :]

Let's calculate the radius of cylinder :-

Let the radius of cylinder be 'r' and Height be 'h'.

→ CSA of cylinder = 2πrh

→ 88 cm² = 2 × 22/7 × r × 14

→ 88 = 2 × 22 × r × 2

→ 88 = 88r

→ r = 88 ÷ 88

→ r = 1 cm

Therefore,the radius of cylinder is 1 cm.

Now, let's calculate the diameter of cylinder :

➝ Diameter = 2 × Radius

➝ Diameter = 2 × 1

➝ Diameter = 2 cm

Hence,the diameter of cylinder is 2 cm.

Answer 2

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