A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. What is the volume of metal in the pipe? Use 3.14 for π and round the answer to the nearest tenth of a cubic millimeter. mm3

Question

Mathematics

Chanel Perez

30 June, 09:28

A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. What is the volume of metal in the pipe? Use 3.14 for π and round the answer to the nearest tenth of a cubic millimeter. mm3

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Answers (2)

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Paula Holden · Answer 1

To solve this problem, we simply use the equation of volume for hollow cylinders:

V = π h (R^2 - r^2)

where V is volume, h is height = 10, R is outer radius = 8.4/2 = 4.2, r is inner radius = 6/2 = 3

V = π (10) (4.2^2 - 3^2)

V = 86.4π = 271.43 mm^3

Wilma · Answer 2

271.3 (choice b) is the correct choice