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Alika [10]
2 years ago
11

A cylinder with radius 3 feet and height 5 feet is shown.

Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

Answer:

The volume of the cylinder is <u>141.23 cubic feet </u>

Step by step explanation :

<u>Given</u>-

  • Radius of cylinder = 3 feet
  • Height of cylinder = 5 feet

Now, we know that

<h3>\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}</h3>

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = \frac{22}{7}  \times  {3}^{2}  \times 5

=  \frac{22}{7}  \times 3 \times 3 \times 5

<h3>=   \frac{990}{7}</h3>

= 141.428571 ( approximately )

=  \boxed{ 141.43 \:  \mathfrak { {ft}^{3}} }

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The correct answer is:  [D]:  "17" .
______________________________________________________
The radius is:  " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
   (x − h)²  +<span> </span> (y − k)² =  r²  ;

in which:  

          " (h, k) " ; are the coordinate of the point of the center of the circle;

           "r" is the length of the "radius" ; for which we want to determine;
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We are given the following equation of the graph of a particular circle:
_______________________________________________________

          →  (x − 4)²  +  (y + 12)² =  17² ;

which is in the correct form:

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          →  { Note that: "k = NEGATIVE  12" } ;

→  Since the equation <u>for this particular circle</u> contains the expression:             _________________________________________________________    
                      →     "...(y + k)² ..." ;  
         
[as opposed to the standard form:  "...(y − k)² ..." ] ; 
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→  And since the coordinates of the center of a circle are represented by:
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