Question

Q1.If the curved surface of a cylinder is 96.8 sq.cm and its height is 5.5 cm then find its total area​.

Answer 1

Answer:

Total surface area of cylinder is 146.08 cm².

Explanation:

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Answer 2

Explanation:

Answer:

Total surface area of cylinder is 146.08 cm².

Step-by-step explanation:

Given :

Curved surface area of cylinder is 96.8 cm².

Height of cylinder is 5.5 cm.

To find :

Total surface area of cylinder..

Solution :

Here, We don't have radius for finding total surface area. We will use curved surface area of cylinder for finding radius.

So,

Curved surface area = 2πrh

[Where, r is radius and h is Height of cylinder]

Put height and curved surface area in formula:

⟶ 2 × 22/7 × r × 5.5 = 96.8

⟶ 44/7 × r = 96.8/5.5

⟶ 44/7 × r = 17.6

⟶ 44 × r = 17.6 × 7

⟶ 44 × r = 123.2

⟶ r = 123.2/44

⟶ r = 2.8

Radius of cylinder is 2.8 cm.

Now,

Total surface area = 2πrh + 2πr²

2πrh = 96.8 cm² and r is 2.8 cm.

⟶ 96.8 + 2 × 22/7 × (2.8)²

⟶ 96.8 + 44/7 × 7.84

⟶ 96.8 + 344.96/7

⟶ 96.8 + 49.28

⟶ 146.08

∴ Total surface area of cylinder is 146.08 cm²