Question

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Please tell me answer of this question in easy way but Step-by-step explanation ✔️✔️

⭕⭕if the radius of the cylinder is 7.7 metre and its curved surface area is 619. 52 cm square then find its height and total surface area❓❓❓⚪⚪​

Answer 1

Here's the answer.......

Answer 2

Answer:

Given :

Maybe there is a typing mistake in radius . It should be the same unit .

Do comment if I am wrong .

Radius of the cylinder ( r ) = 7.7 cm .

Height of the cylinder ( h ) = ?

Curved surface area = 619.52 cm² .

↪ Curved surface area of a cylinder = 2 π r h

⇒ 2 π r h = 619.52 cm²

⇒ 2 × 22/7 × 7.7 × h = 619.52 cm²

⇒ 44 × 1.1 × h = 619.52 cm²

⇒ 44 h = 619.52 / 1.1 cm

⇒ 44 h = 563.22 cm

⇒ 4 h = 563.22 cm / 11

⇒ 4 h = 51.2 cm

⇒ h = 51.2 cm / 4

⇒ h = 12.8 cm .

The height of the cylinder is 12.8 cm² .

↪ Total surface area = 2 π r ( r + h )

⇒ Total surface area = 2 π r² + 2 π r h

⇒ Total  surface area = 2 π r² + 619.52 cm²

⇒ Total  surface area = 2 × 22/7 × ( 7.7 cm )² + 619.52 cm²

⇒ Total  surface area = 44/7 × 59.29 cm² + 619.52 cm²

⇒ Total  surface area = 44 × 8.47 cm² + 619.52 cm²

⇒ Total  surface area = 372.68 cm² + 619.52 cm²

⇒ Total  surface area = 992.2 cm²

The total surface area of the cylinder is 992.2cm² .

Step-by-step explanation:

↪ A cylinder is a 3 dimensional object with radius and height .

↪ We were given the curved surface area and radius only .

↪ The height and total surface area can be found by the formula mentioned .