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

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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