Question:
The external radius of a pipe of metal is \( 4 \) cm and internal radius is \( 3 \) cm. If its length is \( 10 \) cm, then the volume of metal is:
The external radius of a pipe of metal is \( 4 \) cm and internal radius is \( 3 \) cm. If its length is \( 10 \) cm, then the volume of metal is:
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For hollow cylinders, volume is:
\[
V = \pi h (R^2 - r^2)
\]
Updated On: Oct 27, 2025
- \( 120 \) cm\(^3\)
- \( 220 \) cm\(^3\)
- \( 440 \) cm\(^3\)
- \( 1540 \) cm\(^3\)
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The Correct Option is B
Solution and Explanation
Volume of a cylindrical pipe is given by:
\[ V = \pi h (R^2 - r^2) \] \[ V = 3.14 \times 10 \times (4^2 - 3^2) \] \[ V = 3.14 \times 10 \times (16 - 9) \] \[ V = 3.14 \times 10 \times 7 \] \[ V \approx 220 \text{ cm}^3 \]
\[ V = \pi h (R^2 - r^2) \] \[ V = 3.14 \times 10 \times (4^2 - 3^2) \] \[ V = 3.14 \times 10 \times (16 - 9) \] \[ V = 3.14 \times 10 \times 7 \] \[ V \approx 220 \text{ cm}^3 \]
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