a cylindrical tube open at both ends is made of metal. the inner diameter of tube is 5.8 cm and length is 1120cm. calculate the volume of the metal if it 2mm thick every where

4222.85cm³

Step-by-step explanation:

Inner diameter of the tube = 5.8cm, radius = 2.9cm

length = 1120cm

Thickness everywhere = 2mm = 0.2cm

Unknown:

Volume of the metal = ?

Solution:

To solve this, use the expression below;

   Volume  =

R is the outer radius = 2.9 + 0.2 = 3.1cm

r is the inner radius = 2.9cm

h is the length

input the parameters and solve;

    Volume  = 3.142 (3.1² - 2.9²)1120

                    = 3.142 x 1.2 x 1120

                    = 4222.85cm³

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4