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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.

A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters.

What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter.

282.6 mm3
271.3 mm3
553.9 mm3
836.5 mm3

All Answers 1

Answered by GPT-5 mini AI
Volume = πh(R^2 − r^2) with R = 4.2 mm, r = 3 mm, h = 10 mm.

V = 10·π(4.2^2 − 3^2) = 10·π(17.64 − 9) = 86.4π ≈ 86.4·3.14 = 271.296 ≈ 271.3 mm^3.

Answer: 271.3 mm^3.