Respuesta :
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.
The volume of the metal in the pipe is 271.3 mm³.
What is a cylinder?
A cylinder is a three-dimensional shape. It is a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 3.14 = PI
r = radius = diameter / 2
What is the volume of the metal in the pipe?
The volume of the metal in the pipe = volume of the metal pipe - volume of the hole
3.14 x 10 x [(8.4/2)² - (6/2)²]
3.14 x 10 x [17.64 - 9}
3.14 x 10 x 8.64
= 271.3 mm³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
