Question

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

Answer 1

Answer:

271.3 mm^3

Step-by-step explanation:

Volume of a cylinder = πr^2h

To 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^3

The volume of metal in the pipe 271.3 mm^3

Hope this will helpful.

Thank you.

Answer 2

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