Question

If the percentage error is radius and height of a cylinder are 2% and 3% .Find the percentage error in its volume ?​

Answer 1

Answer:

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Explanation:

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Answer 2

Given :

Percentage error

• Radius = 2 %
• Height = 3 %

To find :

• Percentage error in volume .

Solution :

Volume of a cylinder is given by ,

• V = π r ² h

here ,

• V = volume
• r = radius
• h = height

Error in volume is given by ,

⇒ ΔV / V = 2 Δr / r + Δh / h

⇒ ΔV / V = 2 x 2 / 100 + 3 / 100

⇒ ΔV / V = 4 + 3 / 100

⇒ ΔV / V = 7 / 100

⇒ ΔV / V = 0.07

Percentage error

⇒ ΔV / V = 0.07 x 100

⇒ ΔV / V = 7 %

The percentage error in volume of the cylinder is 7 %.