Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
Please help
Answers
Check the picture below.
so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.
[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]
Related Questions
Simplify:
((2x)/(3y ^ - 1)) ^ 2
Answers
Answer:
2xy²/9
Step-by-step explanation:
(8. 69×10to the power of 8)–(9. 6×10 to the power of 6
Answers
Answer:
3.25×10^15
Step-by-step explanation:
(8.69×10)^8_(9.6×10)^6. (3.25)×10^15_(7.83)×10^11=3.25×10^15
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
Answers
Answer: 113.04 in^2
Step-by-step explanation:
area of a circle = pir^2
R = 12/2 = 6
A= 3.14 * 6^2
= 113.04
the ratio of ________to ____________is 4:6 because ther are 4 __________ for every 6 ___________.
Answers
Answer:
the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.
Step-by-step explanation:
A term describing a division of observations into four
Answers
Answer:
The name of this term is a quartile.
please help me (NO LINKS PLEASE)
Yvette spins the following spinner 35 times.
A spinner with 5 equal sections labeled 1 through 5.
How many times should she expect it to land on 4?
Enter your answer as a number, like this: 42
Answers
Answer:
7 times
Step-by-step explanation:
Prob of landing on 4: 1/5
1/5 * 35 = 7
Answer: 7
Step-by-step explanation:
you roll a six-sided die. find the probability of the event described. explain your reasoning: you roll a number less than three
Answers
1/6 + 1/6 = 2/6
Or 1/3 simplified
Tyrone randomly drew pieces of paper numbered 10 through 50 out of a bowl. After he drew each piece of paper, he recorded the number, returned the piece of paper to the bowl, and then drew the next piece of paper. His results are recorded in the stem-and-leaf plot below.
1 1 1 2 3 4 4 5 7 8
2 0 1 2 2 2 3 4 6 8 9
3 0 0 1 2 3 4 5 5 6 7 9 9
4 3 4 4 5 6 7 8 8 9
Key: 1 6 represents 16
Based on the information in the stem-and-leaf plot, what is the experimental probability that a piece of paper randomly drawn from the bowl will have the number 35 written on it?
A.
B.
C.
D.
Answers
Answer:
the answer is D, 1/20
Step-by-step explanation:
i got it wrong the first time but just look at the correct answer choice
The experimental probability is 1/20 that a piece of paper randomly drawn from the bowl will have the number 35 written on it.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
As per the given stem-and-leaf plot, the required solution would be as:
First, determine the total number of pieces of paper pulled from the bowl by totaling the entries in the stem-and-leaf plot.
The stem-and-leaf layout has 40 numbers, with two of them being 35.
As a result, two of the forty pieces of paper drawn had the number 35 scrawled on them.
So, the experimental probability of the piece of paper having 35 on it is :
2/40 = 1/20.
To learn more about the stem-and-leaf diagram click here:
https://brainly.com/question/8450114
#SPJ2
What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61
Answers
Answer:
Please check the question. As written, the value is 1, which is not amoung the answers
Step-by-step explanation:
(-3 + 3) + (-2 + 3)
(-3 + 3) = 0
(-2 + 3) = 1
0 + 1 = 1
Tanisha, a manager at a state park, counted the money
in the cash register at the end of her shift, and then she
deposited the money in the bank. When she went back
to her office, she accidentally shredded the deposit
slip. She remembered that there were only $5 and $10
bills. She also recalled that there were 27 bills totaling
$205. How many $5 bills were in Tanisha's cash
register at the end of her shift?
Answers
Answer: 13
Step-by-step explanation:
[tex]$$Let $x$ be the number of \$5 bills \& let $y$ be the $10 \$$ bills.\\Then $x+y=27 \quad(\because$ total 27 bills $)$ - (1) \\ And $5 x+10 y=205 $\Rightarrow x+2 y=41 - (2)$$[/tex]
[tex]$$Now, (1) - (2) gives us.$$-y=14 \Rightarrow y=14$$Hence, $\quad x=13$\\So there were 13 \$5 bills.[/tex]
please help me with this thanks so much to whoever is helping me
Answers
Answer:
X = 80
Step-by-step explanation:
A flat line is equal to 180 degrees, meaning that if you use linear, you can find out that if you subtract 100 from it, it becomes 80, which resembles the X.
Can someone help me, please and i will mark the person that get it right brainiest
Answers
Answer:
(a) Grade 6
Step-by-step explanation:
You want to know which grade (6 or 7) has the higher mean score, based on the given dot plots.
RangeThe scores of Grade 6 range from 70 to 100. Those of grade 7 range from 50 to 80.
MeanBoth distributions are approximately symmetrical, but have slightly more scores farther below the middle of the range than above. This means the mean in each case will be slightly below the middle of the range.
Even so, the mean of Grade 6 scores will be substantially above the mean of Grade 7 scores. Grade 6 has the higher mean score.
__
Additional comment
Assume the mean of Grade 6 is 85, the middle of the range of scores. Subtract the fewest number of dots (4) from each column, and we have 2 scores 15 units below that assumed mean, and 2 scores at 5 units above that assumed mean. The total of these is 2(-15) +2(+5) = -20. This tells us the actual mean of Grade 6 scores is -20/20 = -1 from the assumed mean of 85. The Grade 6 mean is 84. This is higher than any Grade 7 score, so Grade 6 must have the higher mean.
<95141404393>
 Can a probability more than one or 100% Explain.
Answers
Answer:
No. Only 1 to 100, logically.
Let's make a scenario to solve this.
So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.
Now we must create another scenario.
For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
Step-by-step explanation:
Fill in the blanks!
Answers
Answer:
5(3x + 4y)
= (5×3x) (5×4y)
=15x + 20y
Step-by-step explanation:
Simplify by expanding
I'm not sure if this is the answer you want but I hope it helps
Help help with this question
Answers
Answer:
y-intercept: 4
slope: 2
Step-by-step explanation:
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area of the heptagon rounded to the nearest whole number? recall that a heptagon is a polygon with 7 sides. 1,173 cm2 2,125 cm2 2,359 cm2 4,250 cm2
Answers
The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
What is the area of a heptagon?Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.
[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]
Here, (a) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,
[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]
Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
Learn more about the area of a heptagon here;
https://brainly.com/question/26271153
Answer: b
Step-by-step explanation:
Dana plans to use a survey of 60 randomly selected students at her school to predict the percentage of the 900 students at her school who will attend next week's school dance. How can Dana change her data collection plans to make her prediction closer to the actual result?
Answers
Answer:
See below ~
Step-by-step explanation:
Dana takes a survey of 60 students out of 900 total to see how many will attend the dance.
Based on whatever result she gets out of the 60 students, she can take that number and multiply it by 15 to get a closer prediction to the actual result.
This is because 60 x 15 = 900We are basic taking a ratio of the smaller portion so we can estimate the value of the larger groupThere are 6 juice boxes in 1 pack. 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern Then find how many juice boxes are in 10 packs and 100 packs
Answers
Answer:
24 boxes in 4 packs.
36 boxes in 6 packs.
60 boxes in 10 packs.
600 boxes in 100 packs.
Step-by-step explanation:
If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.
There are two ways you can get an answer
Multiplication:
For however many packs there are you multiply it by 6 boxes.
For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.
For 6 packs, you multiply it by 6 boxes again getting 36 boxes.
Below is a table I made for an example.
P | B
1 | 6
2 | 12
3 | 18
4 | 24
5 | #
6 | 36
10 x 6 is 60
100 x 6 is 600.
whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000
How does knowing the coordinates of a point P in the Cartesian plane help you determine the trigonometric ratios associated with the angle formed between the initial and terminal arm for the angle? Use an example to help you explain.
Answers
The cosine and the sine of the angle are the x and y coordinates of P, respectively
The relationship between the coordinates and trigonometry ratiosAssume that the coordinate of a point P is:
P = (x,y)
The trigonometry ratios are represented using:
(cos(t), sin(t))= (x,y)
Where t represents the angle formed between the initial and terminal arm.
Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively
Read more about Cartesian planes at:
https://brainly.com/question/13854649
#SPJ1
Which expression is equivalent to 312 • 79?
Answers
Answer:
Step-by-step explanation:
1. The subject of the statement is also the _____ of the if-then form. *
1 point
Argument
Conclusion
Converse
Hypothesis
Answers
A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion. The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.
This was found on the internet
Hope this helps :)
the 6th term is 22 and the common difference is 6 what is the fiftieth term?
Answers
Answer:
the fiftieth term is 76
Step-by-step explanation:
first subtract 15 by 6
15-6= 9
22+ 6 (9)
6 x 9= 54
22 + 54= 76
Answer: 76
1/200
written as a finite decimal work shown
Answers
= 1
200
x 5
5
= 5
Then The numerator 5 of fraction 5/1000 can also be expressed as 5.00. Being 1000 as the denominator, move the decimal point 3 decimal places from right to left in the numerator to write the fraction as decimal number.
= 5
1000
= 0.005
So this is how
1/200 as a decimal is 0.005
Type the correct answer in the box. Use numerals instead of words.
A toy ball has a surface area of 7,543 square millimeters.
What is the radius of the toy ball to the nearest tenth of a millimeter?
The radius is millimeters.
Answers
Answer:
The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease
The radius of the toy ball is 24.5 millimeter (to nearest tenth)
What is the surface area of a sphere ?Let, r be the radius of the sphere.
Then the surface area of the sphere = [tex]4\pi r^{2}[/tex] sq. unit
How to find the radius of the toy ball?The structure of the toy ball is sphere.
Given, Surface area of the toy ball = 7543 square millimeter
Let, the radius be r millimeter
∴ [tex]4\pi r^{2}[/tex] = 7543
⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{4*3.14}[/tex] , where [tex]\pi[/tex] = 3.14
⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{12.56}[/tex]
⇒ [tex]r^{2}[/tex] = 600.56
⇒ r = [tex]\sqrt{600.56}[/tex]
⇒ r = 24.5 (approx)
Radius = 24.5 millimeter (to nearest tenth)
Learn more about Surface area of sphere here :
https://brainly.com/question/27311622
#SPJ2
20 points!! Will give brainilisest. ASAP!!
Answers
Answer:
Measure the border between the black lines and the distance between the two places. Then calculate the difference.
Step-by-step explanation:
EX: Let’s say distance is 10 inches distance and 7 inches distance between cities.
7/10–> 7x36/10x36
252/360
And then simplify!
How many games did the team play? NO LINKS!!!
Answers
Answer:
blurry
Step-by-step explanation:
What does the constant of variation of 340 represent in this situation? total number of waves height of the waves in meters speed of the waves in meters per second time in seconds for one wave to pass a given point
Answers
Answer:
C: Speed of the waves in meters per second
Step-by-step explanation:
on edge
The frequency is inversely proportional to the time. Then the correct option is D.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The table is given below.
The constant variation of 340 represents this situation will be
The frequency is inversely proportional to the time. Then it represents time in seconds.
More about the wavelength link is given below.
https://brainly.com/question/13533093
Entercept word problems
arn
r
2. the water in nate's swimming pool is
currently 72 inches deep. however, nate
noticed a hole in the liner that is causing
water to leak out of the pool. the depth of
the water is decreasing at a rate of 2 inches
per hour. which equation relates the depth
(d) of the water in inches after h hours?
Answers
at time = 0 (y-intercept) the pool is 72in deep
the pool loses 2 inches of water every 1 hour. or -2/1
so your equation is y = -2x + 72
Good Luck!
5. Mrs. Taylor painted her bathroom.
She began painting at 10:45 a.m.
She painted for 3 hours and 45
minutes. What time did she
finish painting?
A. 1:30 p.m.
B. 1:45 a.m.
C. 2:15 a.m.
D. 2:30 p.m.
Answers
Answer:
D
Step-by-step explanation:
Add 10:45 by 3
Which is the graph of the solution set of 5 - 2 > 5?
O A.
-18
o
18
42
O B.
-18
0
18
42
+
Oc.
-18
O
+
18
42
D.
-18
+
0
18
42
Answers
Answer:
OC
Step-by-step explanation:
I got it right on my test!