MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

Answer:271.3 mm^3Step-by-step explanation: Volume of a cylinder = πr^2hTo find the answer, we need to find the difference between the large cylindrical and small cylindrical pipes.
V = π h (R^2 – r^2)
Given: h= 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= 3.14*10(17.64 - 9)V = 31.4(8.64)V = 271.3 mm^3The volume of metal in the pipe 271.3 mm^3Hope this will helpful.Thank you.