1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir1956 [14]
3 years ago
5

LAST QUESTION! Please help! Please

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0
The correct answer is:  [C]:  " 37, 680 mm³ " .
________________________________________________________

Explanation:
________________________________________________________

The formula for the volume, "V" , of a cylinder is:

                →   V  =   \pi  *  r²  *  h  ;  

                           → in which "r = length of radius" ;  "h = height" ;             ________________________________________________________

     {Note that the formula for the volume, "V" , of a cylinder is:
     
                              →   " Base area * height " .
________________________________________________________

         →  Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;  

          →  and the formula for the "area of a circle = [tex] \pi [/tex] * r² " ;

          →  in which "r = length of the radius" . 

As such, the formula for the volume, "V" ,  of a cylinder is:
______________________________________________________
       →   Volume  =  (Base area) * (height) ; 

                             =  ( \pi r² ) * h  ;
______________________________________________________

       →   V  =  \pi  r²  h  
; 

                 in which:  "V = volume  {in "cubic units" ;  or, write as " units³ " } ;

                                  "r = radius length" ; 

                                  "h = height" ;
_____________________________________________________
  →  Now, we shall solve for the volume, "V", of the given cylinder in this question/problem:
_____________________________________________________

          →   V  = \pi  r²  h  ; 

                      in which: "r = radius = ? "  ; 

                        →  To find "r" ;  We are given the diameter, "d = 40 mm" ; 
 
                        →  Note that:  "r = d/2 = (40 mm) / 2 = 20 mm " ; 

                              {i.e., "the radius is half of the diameter".}.  

                        →  " r = 20 mm " ;  

                        →  " h = height = 30 mm " {given in figure) ; 
      
                        →  For \pi ; let us use " 3.14 " — which is a commonly used approximation.  

             →  For this question/problem, none of the answer choices are given "in terms of \pi " ;
     →   so we shall use this "numerical value" as an "approximation" ; 
_______________________________________________________

Now, let us plug in our known values into the formula;
     and calculate to find the volume, "V", of our given cylinder; as follows:
_______________________________________________________

    →    V  = \pi  r²  h  ; 

                =  (3.14) * (20 mm)²  * (30 mm) ; 

                =  (3.14) * (20)² *  (mm)²  * (30 mm) ;
          
                =  (3.14) * (20)² * (30) * (mm³) ;

                =  (3.14) * (400) * (30) * (mm³) ; 

                =  37, 680 mm³
__________________________________________________

The volume is
:  " 37, 680 mm³  " ;  

          →  which is:  Answer choice  [C]:  " 37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!
You might be interested in
Which is bigger 6.5l or 645ml
snow_lady [41]

Answer:

pretty sure its 645ml

Step-by-step explanation:

3 0
2 years ago
I need help with this (simplify 8^3)
sattari [20]

Answer:

512

Step-by-step explanation:

8 = 2^3

Therefore,

8^3  

= (2^3)^3

= 2^(3*3)

= 2^9

= 512

Thus, 8^3 = 512

<h2>Please mark my answer as Brainliest!!!</h2>
5 0
3 years ago
Read 2 more answers
Find the inequality represented by the graph someone help please
Alecsey [184]
U have a solid line...meaning there is an equal sign in the problem
u have a y int of -1 (the y int is where ur line crosses the y axis)
u have a slope of : 1
it is shaded below the line...so it is less then

so ur inequality is : y < = x - 1 <==

6 0
3 years ago
Read 2 more answers
What are the domain and range of the function on the graph?
anygoal [31]

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the  

x -axis. The range is the set of possible output values, which are shown on the  

y -axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

I really hope this answer helps you out! It makes my day helping people like you and giving back to the community that has helped me through school! If you could do me a favor, if this helped you and this is the very best answer and you understand that all of my answers are legit and top notch. Please mark as brainliest! Thanks and have a awesome day!

8 0
2 years ago
Explain what an exponent is.
True [87]
A quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
5 0
3 years ago
Other questions:
  • Can someone help with this question?
    6·2 answers
  • Can someone give me some tips of how to study. I have already tried writing everything in my lesson but it doesn't seem to work
    13·1 answer
  • Which angle forms a verticals pair with OSN?<br><br> A : LSO<br> B : LSM<br> C : NSM<br> D : LMS
    12·1 answer
  • What is the numerator when 0.83 is written as a fraction with the denominator of 100
    11·2 answers
  • U need help ASP .<br>f(x)=1-3X and g (x)=x+4 calculate gf(-2)<br>​
    11·1 answer
  • An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
    6·1 answer
  • A 1350 kg car travels at 12 m/s. What is it's kinetic energy
    7·2 answers
  • Solve the equation. 11 6 = n + 7 9 6 11 ​ =n+ 9 7 ​ start fraction, 11, divided by, 6, end fraction, equals, n, plus, start frac
    7·1 answer
  • 10% of what is 7???!!!
    11·1 answer
  • Find x when y = 18, if y= 5 when x =4
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!