volume of cylinder: π * radius² * height
=============
⇒ π * 4² * 4
⇒ π * 16 * 4
⇒ 64π
Thus the volume of cylinder is 64π cm³
Question :-
What is the volume of a right cylinder with a radius of 4 m and a height of 4 m?Answer :-
The volume of a right cylinder is 64π m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{4 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4 m. The height of a cylinder is 4 m. We have been asked to find the volume of a right cylinder.
To calculate the volume of a right cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times (4 \: m)^2 \times 4 \: m [/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times 16 \:m^2 \times 4 \: m [/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = \pi 64 \: m^3[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 64\pi \: m^3}[/tex]
Therefore :-
The volume of a right cylinder is 64π m³.[tex]\\[/tex]
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A cylindrical piece of iron pipe is shown below. the wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: the figure shows a cylinder of height 16 inches and diameter 6 inches. what is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches
Answer:
254.4
Step-by-step explanation:
if its 0.75 inch thick, then to get the radius you just times to thickness by 2 which gets 1.5.
6-1.5= 4.5
to get the radius you divide 4.5 by 2 which gets 2.25
and then put this in the formula you get=
V=πr2h=π·2.252·16≈254.469
so the answer is 254
edit:i might be wrong feel free to correct me
Answer: 254
Step-by-step explanation:
PPLEASE HELP FOR 10 POINTS!!!!!
Write an equation to represent the verbal description.
In a computer game, Nikolai started with x points. After losing 50 points, Nikolai then tripled his score for a total of y points.
Answer:
[tex]y=3(x-50)[/tex]
Hope This Helps! :)Please Give Brainliest if this is correct!
(Which I am pretty confident in...)
Someone HELP!!!!!!!!!!!
Answer:
I got x= 3
[tex]m < DBE = 64\\m < CBE =26[/tex]
Step-by-step explanation:
since x= 3,
I put 3 in the equations,
first equation,
17x + 13
17*3 + 13
=64
second equation,
32-2x
32 - 2*3
=26
Help please help me with this
Answer:
B
Step-by-step explanation:
40,000 x 3^1 = 120,000
120,000 x 3 = 360,000
40,000 x 3^2 = 360,000
Therefore, it is the second option, or B.
Valla
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
4
6
34
36
Next
Mark this and return
Save and Exit
Submit
Answer: 4
Step-by-step explanation:
4*9=36+the 4 red =40
Nancy went hiking on Mt Math. On Saturday, she started at an elevation of 15 meters below sea level. On
Sunday, she went up the elevation 7 meters and down 5 meters. What was Nancy's elevation at the end of the
day on Sunday?
27 meters above sea level
27 meters below sea level
13 meters below sea level
13 meters above sea level
Answer:
13 meters below sea level.
Step-by-step explanation:
she started at -15m.
Then she went up 7m, making it -8m.
Then down 5m, making it -13m.
the equation would look like this: -15+7-5. All the best, -Crispin
What is the volume of the rectangular prism? 5cm 6cm 5cm?
Answer:
150cm
Step-by-step explanation:
Multiply all sides together.
5 x 5 x 6 = 150
150cm is the volume of the rectangular prism.
Solve the following exponent:
(28)2
Answer:no answer figure it out on your own
Step-by-step explanation:No Answer
Answer:
784
Step-by-step explanation:
[tex]28*28 = 784[/tex]
Pls help! it's due soon!!
Answer:
22
Step-by-step explanation:
Reflection on x axis
P(x, y) =P'(x,-y)
Therefore, D(2,3 ) =D'(2,-3)
What is the probability that a point chosen randomly inside the rectangle is in the square?
Answer:
9/308
Step-by-step explanation:
The probability is the area of the square divided by the area of the rectangle.
p = (3 in.)² / (22 in. × 14 in.)
p = 9/308
What is the value of K?
Answer:
k = 2.31
Step-by-step explanation:
You will use the Law of Cosine to determine the unknown angles, then you will use the Sine Rule to determine the unknown side.
You can catch a bus near your home to and from work for $3.75 a day. The monthly pass is
$70. Assuming that you work about 22 days a month, how much can you save by buying the
pass?
O $5.00
O $3.75
O $12.50
O $82.50
Answer:
$12.50
Step-by-step explanation:
I multiplied $3.75 by 22 to figure out how much you would make in that month.
3.75 x 22 = $82.50
I then subtracted $70 from $82.50 to figure out how much you would have left after buying the pass.
82.50 - 70 = $12.50
Hope this helps!
The length of the walk-in closet is 2 more than 5 times its width. If the perimeter of the closet is 64 feet, what is its width?
a) 10 feet
b) 2 feet
c) 6 feet
d) 5 feet
e) 8 feet
Step-by-step explanation:
a) 10 feet ,64=2(2+5w)
64=4+10w
64-4=10w
60=10w
60*10=10w*10
w=6
write a function to describe the relationship of the values in the table (-9,-3) (-6,-2) (-3,-1) (0,0) (3,1)
y=1/3x
Step-by-step explanation:A linear function is a relationship that has a degree of 1 and a constant slope. Linear functions are written in the form of y=mx+b, where m is the slope and b is the y-intercept.
Y-intercept
The y-intercept of a function is the y-value when x=0. In this case, we are given all of the coordinates. One of the coordinates is (0,0), which means that when x=0, y=0. So, the y-intercept is 0.
Slope
The slope is the change in y over the change in x. Using the coordinates we can find the slope through the formula [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]. It will be easiest to use the coordinates (0,0) and (3,1). Plug these points into the formula to find the slope.
[tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]This means that the slope is 1/3.
Answer
Using the information found in the previous sections we can create the final answer, y=1/3x+0, or just y=1/3x.
What is a function that converts an input of letters and numbers into an encrypted output of a fixed length
The function that converts an input of letters and numbers into an encrypted output of a fixed length is the hash function
How to determine the function?From the question, we have the following highlights:
The inputs are letters and numbersThese inputs are converted and encryptedThe output has a fixed lengthThe mathematical function with the above features is a hash function
Hence, the function is the hash function
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After 10 weeks, how much money would William have in his bank account? Show your work.
Answer:
The answer seems to be going up by $14 every week
Step-by-step explanation:
Week 5 is $100, Week 6 is $114, Week 7 is $128, Week 8 is $142, Week 9 is $156, Week 10 is $170
URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT!!!!!!!
Plans for a new apartment complex call for buildings directly across the fence from each other to be congruent. This computer printout shows Building A.
if the vertices of Building B are located at (2x1,2y1),(2x2,2y2),(2x3,2y3), and (2x4,2y4), will building B be congruent to Building A?
Because the transformation is a dilation, we conclude that the buildings are not congruent.
Is building B congruent to building A?
You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.
Where for a point (x, y), a dilation of scale factor k is written as:
(kx, ky).
The vertices of building A are:
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).
And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.
(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).
So, because there is a dilation, building B is not congruent to building A.
If you want to learn more about transformations, you can read:
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Aannswer..............
Answer:
It's telling you what to do...Um I can do this tho...
You do the first step...And you move on..It says..Across That tells you to go across. And you keep moving on. Do one step at a time.
I dk how to really help you.
Step-by-step explanation:
~XxRexXx~
Which arrow indicates the probability of choosing a blue marble from a bag of five red marbles and fifteen blue marbles?
Arrow A
Arrow B
Arrow C
Arrow D
I needs help asap
Answer: Its c
Step-by-step explanation: hope it helps :)
Answer:
ARROW A
Step-by-step explanation:
kate has the following scores on her math test this quarter 89,79,83, and 94.if she want an average of 85 ,what musther score be on the 5th test
Solve the word problem below. Enter your answer in simplest terms, using the
slash () to represent the fraction bar.
A recipe for a soup calls for 3/6 cup of chopped onion and 1/4 cup of chopped
celery. What is the total amount of celery and onion needed for the soup help me.
Answer:
3/4
Step-by-step explanation:
Here,cup of chopped onions=3/6
cup of chopped celery=1/4
Then,
total amount celery and onion needed for the soup =3/6 + 1/4
=3*2 + 1*3/12
=6+3/12
=9/12
=3/4
Please help!
Find the measure of angle A. Round your answer to the nearest hundredth
A. 33.56 degrees
B. 39.81 degrees
C. 50.19 degrees
D. 56.44 degrees
Which two consecutive integers does sqrt20 fall between? Explain your reasoning for. For example, sqrt5 is between 2 and 3, because 5 is between 2^2 and 2^3
Answer:
4 and 5
Step-by-step explanation:
√20 is between 4 and 5 because 20 is between [tex]\sf 2^4[/tex] and [tex]\sf 2^5[/tex]:
[tex]\sf 2^4=16[/tex] and [tex]\sf 2^5=32[/tex]
Answer:
It falls in between 4 and 5
Step-by-step explanation:
Hello!
We can find the perfect squares that are before and after 20.
Perfect squares are numbers that are made by multiplying a number by itself. Numbers that are multiplied by itself 3 times are called perfect triples.
To find the square root of a number is to find out what number multiplied by itself gives us the number.
The perfect square before 20 is 16, as it is 4², or 4 x 4
The perfect square after 20 is 25, as it is 5², or 5 x 5
Therefore, the square root of 20 will fall between 4 and 5.
Find x.
41°
110°
35°
= 0
Х
?
Answer:
x^33-12*x^2-42)-(x^2+x-3)
Step-by-step explanation:
What is the equation of this line in slope-intercept form?
y = 3x - 1
y = -3x -1
y = -⅓x -1
y = 3x + 1
Answer:
y = -3x - 1
Step-by-step explanation:
To find the slope, use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Plugging in the given values, we have: [tex]\frac{-4-2}{1-(-1)}[/tex]
[tex]\frac{-4-2}{1-(-1)}[/tex]
= [tex]\frac{-6}{2}[/tex]
= -3
Now that we know that the slope is -3, we need to find the y-intercept. Anazlyzing the graph, we can see that the line passes through the point (0, -1) on the y-axis, therefore, that is our y-intercept.
Combining the information, the result is: y = -3x - 1
hope this helps!
cual es la inversa de la funcion f(x) = -1/2 (x + 3 )
Answer:
-2x - 3
Step-by-step explanation:
f(x) = -1/2(x + 3) is the same as y = -1/2(x + 3)
change all y terms to x terms and all x terms to y terms
So change y = -1/2(x + 3) to x = -1/2(y + 3)
Now use the new equation and slove for y
x = -1/2(y + 3)
-2x = -2· -1/2 (y + 3)
-2x = y + 3
-2x - 3 = y
Rewrite your answer y = -2x - 3
Write the equation in the inverse
Find the circumference of the circle of 13 inches use 3.14 for pi and round to the nearest whole number
Answer:
C=2pi r
2pi= 6.2831
r=13
2pir=81.64
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
Answer:
y = -x - 1
Step-by-step explanation:
soo since we already know the slope we can subsitute it to the slope form equation
y = mx + b
y = -x + b
now to find the y intercept we have to subsitute the given point
-3 = -(2) + b
-3 = -2 + b
b = -1
Answer:
y = -x - 1
Step-by-step explanation:
Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).
Why? It has a slope of 2, and our answer wants a line with a slope of -1.
y = mx + b
m is the slopeb is the y-intercept.To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).
(2, -3)
y = -x - 1
-3 = -2 - 1
-3 = -3
This statement is true
(2, -3)
y = -x - 3
-3 = -2 - 3
-3 = -5
This statement is false
(2, -3)
y = -x + 2
-3 = -2 + 2
-3 = 0
This statement is false
Therefore, the correct answer is a) y = -x - 1
*View the graph to verity the answer*
Hope this helps!
Which of the following numbers is best represented on the number line below?
Answer:
Option 1
Step-by-step explanation:
• There are 20 slices of bread in a loaf. How many 2-slice sandwiches can you make with 1 loaf? Write a multiplication fact and a division fact you could use to this problem. a
Answer:
blm is the correct answer
Step-by-step explanation:
The number of the two-slice sandwich will be 10.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 20 slices of bread in a loaf. The number of the sandwiches will be calculated as below:-
Number of the sandwiches = 20 / 2 = 10 sandwitch
Therefore, the number of the two-slice sandwich will be 10.
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