Multiple choice

A hollow cylindrical pipe has an internal radius of 3 cm and an external radius of 5 cm. If the length of the pipe is 14 cm, what is the volume of the material used in the pipe? (use π = 22/7)

  1. 308 cm3

  2. 616 cm3

  3. 704 cm3

  4. 784 cm3

  5. 812 cm3
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C Correct answer
Explanation

Volume = pi * h * (R^2 - r^2) = (22/7) * 14 * (5^2 - 3^2) = 22 * 2 * (25 - 9) = 44 * 16 = 704 cm^3.

AI explanation

Using the volume of a hollow cylinder formula, V = π(R^2 - r^2)h, we substitute the given values to get (22/7) * (5^2 - 3^2) * 14. This simplifies to (22/7) * (25 - 9) * 14, which is (22/7) * 16 * 14. Canceling the 7 leaves 22 * 16 * 2, resulting in a volume of 704 cm3.

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