Question

Find the curved surface area and total surface area of a cylinder, the diameter of whose base is 7 cm and height is 60 cm.


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Answer 1

Diameter of cylinder 7cm

Radius of cylinder =(7/2)cm=3.5cm

Height of cylinder 60cm

Volume of cylinder =π×r2×h

              =[22/7 × 3.5 × 3.5 × 60] cm^3

                                =2310 cm^3

1 litre =1000 cm^3

⇒1 cm^3 = 1/1000 litre

⇒2310 cm^3 = 2310/1000 litre

= 2.31 litre

Step-by-step explanation:

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Answer 2

Answer:

Given :

• Diameter of cylinder = 7 cm
• Radius of cylinder = 7/2
• Height of cylinder = 60

To Find :

• The curved surface area and total surface area of a cylinder

Solution :

• ☆Curved surface area of cylinder

➙ 2πrh

➙ 2 × 22/7 × 7/2 × 60

➙ 22 × 60

➙ 1320 cm²

∴ Curved surface area of cylinder = 1320 cm²

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• ☆Total surface area of cylinder

➙ 2πrh + 2πr²

➙ 1320 + 2 × 22/7 × 7/2 × 7/2 [Value of C.S.A]

➙ 1320 + 77

➙ 1397 cm²

∴ Total surface area of cylinder = 1397 cm²

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• ☆Volume of cylinder

➙ πr²h

➙ 22/7 × 7/2 × 7/2 × 60

➙ 2310 cm³

∴ Volume of cylinder = 2310 cm³

☘Focus zone : 1 L = 1000 cm³

➛ The capacity of the cylinder in litres

◍ 2310/1000 = 2.31 L

∴ The capacity of the cylinder = 2.31 L

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