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ipn [44]
3 years ago
11

The diameter of a cylindrical construction pipe is 4 ft. If the pipe is 19 ft long, what is its volume?

Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer:

The volume of the pipe is 239 ft³

Step-by-step explanation:

The rule of the volume of a cylinder is V = π r² h, where

  • r is the radius of its base
  • h is its height

∵ The diameter of a cylindrical construction pipe is 4 ft

∵ The radius is half the diameter

∴ r = \frac{1}{2} × 4 = 2 ft

∵ The pipe is 19 ft long

∴ h = 19 ft

∵ π = 3.14

→ Substitute them in the rule of the volume

∴ V = 3.14(2)²(19)

∴ V = 238.64 ft³

→ Round it to the nearest whole number

∴ V = 239 ft³

∴ The volume of the pipe is 239 ft³

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