Question

A cylinder drum of the radius 7cm and height 14cm find C.S.A, T.S.A and volume of the drum​

Answer 1

Given :-

• Radius of cylindrical drum is 7 cm  

• Height of cylindrical drum is 14 cm

To Find :-

• Curved surface area of cylindrical drum  

• Total surface area of cylindrical drum

• Volume of cylindrical drum

Solution :-

~Here, we’re given the radius and height of a cylindrical drum and we need to find Curved Surface Area ( CSA ) , Total Surface area ( TSA ) and Volume of that cylindrical drum. We can easily find them by putting the values in their formulas.

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As we know that ,

✬ CSA of cylinder = 2πrh

✬ TSA of cylinder = 2πr( r + h )

✬ Volume of cylinder = πr²h

Where,

• h is height
• r is radius
• π is 22/7

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Finding the CSA :-

⟶ 2 × 22/7 × 7 cm × 14 cm

⟶ 2 × 22 × 1 cm × 14 cm

⟶ 44 × 1 cm × 14 cm

⟶ 616 cm²  

Finding the TSA :-

⟶ 2 × 22/7 × 7 cm ×  ( 7 cm + 14 cm )

⟶ 2 × 22 × 1 cm × 21 cm

⟶ 44 × 1 cm × 21 cm

⟶ 924 cm²  

Finding the volume :-

⟶ 22/7 × 7 cm × 7 cm × 14 cm

⟶ 22 × 1 cm × 7 cm × 14 cm

⟶ 2156 cm³

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Hence,  

》 CSA of cylinder is 616 cm²

》TSA of cylinder is 924 cm²

》  Volume of cylinder is 2156 cm³

Answer 2

Given :

• Radius of Cylinder drum = 7cm
• Height of Cylinderal Drum = 14cm

To Find :

• ⑴ C.S.A of cylinder drum
• ⑵ T.S.A of cylinder drum
• ⑶ Volume of cylinder drum

Solution :

Formula Used :

• CSA of cylinder = 2πrh
• TSA of cylinder = 2πr (h + r)
• Volume of cylinder = πr²h

⑴ CSA of cylinder = 2πrh

⟿ CSA of cylinder = 2 × 22/7 × 7 × 14

⟿ CSA of cylinder = 2 × 22 × 14

⟿ CSA of cylinder = 44 × 14

⟿ CSA of cylinder = 616cm²

⑵ TSA of cylinder = 2πr(h + r)

⟿ TSA of cylinder = 2 × 22/7 × 7 (7 + 14)

⟿ TSA of cylinder = 44 (7 + 14)

⟿ TSA of cylinder = 44 × 21

⟿ TSA of cylinder = 924cm²

⑶ Volume of cylinder = πr²h

⟿ Volume of cylinder = 22/7 × (7)² × 14

⟿ Volume of cylinder = 22/7 × 49 × 14

⟿ Volume of cylinder = 22 × 49 × 2

⟿ Volume of cylinder = 44 × 49

⟿ Volume of cylinder = 2156cm³

Therefore,

• CSA of cylinder is 616cm²
• TSA of cylinder is 924cm²
• Volume of cylinder is 2156cm³

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