Question

the length of inner and outer diameter steel pipe of 104 cm length are respectively 8cm and 10cm. calculate the volume of the steel thet the pipe contains​

Answer 1

Question :

• The height and length of inner and outer diameter of steel pipe are 104cm , 8cm and 10cm respectively. calculate the volume of the steel that the pipe contains.

Given :

• Height = 104cm
• Inner Diameter = 8cm
• Outer Diameter = 10cm

To Find :

• The volume of the steel that the pipe contains.

Solution :

✰ As we know that, Volume of the Steel pipe will be given by π(R² - r²)h where R and r represents Outer and Inner radius respectively. Now in this question, Height and Diameters are given so firstly we will the radii and then we will put the values in the formula discussed above.

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Outer Radius :

• Diameter = 2 × Radius
• 10 = 2 × Radius
• 10/2 = Radius
• 5cm = Radius

⠀

Inner Radius :

• Diameter = 2 × radius
• 8 = 2 × radius
• 8/2 = radius
• 4cm = radius

⠀

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Volume of Steel Pipe :

⠀⟼⠀Volume = π(R² - r²)h

⠀⟼⠀Volume = 22/7 × ((5)² - (4)²) × 104

⠀⟼⠀Volume = 22/7 × (25 - 16) × 104

⠀⟼⠀Volume = 22/7 × 9 × 104

⠀⟼⠀Volume = 22 × 9 × 14.85

⠀⟼⠀Volume = 22 × 133.65

⠀⟼⠀Volume = 2940.3cm³

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Thus Volume of Steel pipe is 2940.3cm³

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