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Tatiana [17]
4 years ago
11

Question 16..........

Mathematics
2 answers:
Elanso [62]4 years ago
7 0
Since the diameter is 6 cm, the radius is 3 cm. Use the area formula to get 113.04 cm squared. Then, you multiply that by the height of the rod, which is 20 cm. The volume of one rod is 2260.8 cm cubed. To find how much steel is needed for 189 rods, multiple the volume of one rod by 189. Your answer should be 427291.2 cm³.
iris [78.8K]4 years ago
7 0
If the cylinder-shaped rods are solid (not hollow), then the amount of steel needed to make a rod is the same as the volume of the rod. Multiply that by 189 to get the amount of steel needed to make 189 rods.
Area of a cylinder = pi*r*r*h
r = diameter/2 = 6/2 = 3
h = 20
Area=189(pi*3*3*20)=189(pi*180)
The question says to use 3.14 as pi, so:
189(pi*180)=189(3.14*180)=189(565.2)=106822.8
A cylinder is three dimensional so the unit is cm^3
Answer: 106822.8 cm^3
565.2*189
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_____________________________________
<u>Note</u>:  The sum total of the measure of all angles lying on a straight
             line is 180°.

So;   x + y + z = 180 .

Given:    x =  2y ;
              z  =  3y ;
__________________
Find the value of:  " y " ;
_______________________
Since:   x + y + z = 180 ; 

Substitute:  "2y"  for  "x" ; 
          and:  "3y"  for  "z" ;
_______________________
       2y + y + 3y = 180 ;

                6y = 180 ;
______________________
  Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
___________________________
       6y/ 6 = 180 / 6 ; 

             y = 30 ;
____________________________
Let us check our work;
____________________________
     2y + y + 3y = 180 ;

Substitute our solved value:  "30" ; for "y" ; in the equation; to see if the equation holds true:
____________________________
  2(30)  +  30  +  3(30)  =?  180 ?
____________________________
   60  +  30  +  90  = ?  180 ?
____________________________
             90  +  90  = ?  180 ?  Yes!
____________________________
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