Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answers
Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
What is the volume of a cylinder?Suppose that the radius of considered cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
For this case, we're specified that:
Radius of the considered cylinder = r = 3 unitsThe height of the considered cylinder = h= 6 units.Thus, the volume of this cylinder is:
[tex]V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3[/tex]
Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
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Related Questions
A circle with center O is inscribed in a square with a
perimeter of 40, as shown below. What is the area of the
shaded region?
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Areas and Volumes.
Area of Shaded region = Area of Square - Area of inscribed Circle.
Radius if circle = 10/2 ==> 5 units
hence,
Area of circle = 25 π units
Area of square = (10)^2 ==> 100 units
hence the area of shaded region = 100 - 25π
==> Area of shaded region = 25 (4 - π)
Correct option is G.)
Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.
Answers
The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.
The height of the ramp formed is the opposite side of the right triangle.
Hence,
sin 19° = opposite / hypotenuse
sin 19° = h / 27
cross multiply
h = 27 × sin 19°
h = 27 × 0.32556815445
h = 8.79034017034
h = 8.79 inches.
Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.
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Answer:
8.79 inches
Step-by-step explanation:
A bakery sold a total of 400 cupcakes in a day, and 184 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answers
Answer:
46%
Step-by-step explanation:
184/400=vanilla
184/400=46/100=46%
hope this helps
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
4, 13/3, 14/3, 5, 16/3, …
Is the answer: Neither?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]
[tex] \sf{ \dfrac{14}{3}- \dfrac{13}{3} = \dfrac{1}{3}} [/tex][tex] \sf{ {5}{}- \dfrac{14}{3} = \dfrac{15-14}{3} =\dfrac{1}{3}} [/tex][tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of } \sf \dfrac{1}{3} [/tex]
Answer:
Arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\textsf{Given sequence}=4, \dfrac{13}{3}, \dfrac{14}{3}, 5, \dfrac{16}{3},...[/tex]
If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).
If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).
[tex]\sf 4\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad\dfrac{13}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{14}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad 5\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{16}{3}[/tex]
As the difference between consecutive terms is [tex]\sf \frac{1}{3}[/tex] then the sequence is arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]
General form of an arithmetic sequence: [tex]\sf a_n=a+(n-1)d[/tex]
where:
[tex]\sf a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 4[tex]\sf d=\dfrac{1}{3}[/tex]So the formula for the nth term of this sequence is:
[tex]\implies \sf a_n=4+(n-1)\dfrac{1}{3}[/tex]
[tex]\implies \sf a_n=\dfrac{1}{3}n+\dfrac{11}{3}[/tex]
Peter set up the iron board to iron his shirt. 3 If m 3 is 65°, what is the measure of its vertical angle? OA. 155° OB. 65 OC. 25° OD. 115°
Answers
Answer:
the same 65 degrees
Step-by-step explanation:
Last year, jess saw x dramas and y comedies at the movie theater. if she went to the theater no more than 8 times, which inequality best represents the number of movies she saw? x y < 8 x y > 8 x y ≤ 8 x y ≥ 8
Answers
Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.
InequalityThe inequality that represent the number of movies is: x + y ≤ 8
Where:
x represent drama at the movie theater
y represnt comedies at the movie theater
≤ represent less than
8=Number of times
Therefore the inequality is: x + y ≤ 8.
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Answer:
c on edge
Step-by-step explanation:
because i took the test and got a 100
To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?
A. 2/3
B. 1/1
C. 3/2
D. 5/3
Answers
Answer:
D. 5/3
Step-by-step explanation:
[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]
[tex]1/6+1/2+1/3+x=8/3[/tex]
[tex]x=8/3-1/6-1/2-1/3[/tex]
[tex]x=8/3-1/6-3/6-2/6[/tex]
[tex]x=8/3-6/6[/tex]
[tex]x=16/6-6/6=10/6[/tex]
simplified
[tex]x=5/3[/tex]
Hope this helps
19. The ratio of blue to green marbles is
2:3. If there are only blue and green
marbles, what percent of the
marbles are blue?
Answers
Answer: 40%
Step-by-step explanation:
If sin 1/3, what are of the values of cos 0 and tan 0?
Answers
Answer:
B
Step-by-step explanation:
SohCahToa
Sin opposite/hypotenuse
Cos adjacent/hypotenuse
Tan opposite/adjacent
so if sin is 1/3 the opposite is 1 and the hypotenuse is 3
to find cos do a^2+b^2=c^2
1^2 + x^2 = 3^2
1+x^2=9
subtract 1 from both sides
x^2=8
do the square root x=2 sq root 2
that leaves u with
opposite is 1
hypotenuse is 3
adjacent is 2 sq rt 2
cos= 2 sqrt 2 / 3
tan= 1 / 2 sq rt 2 which is also eqal to sq rt 2 / 4
B
(982x5.47)-(598x78)+28=y
Answers
Answer:
4805.38
Step-by-step explanation:
982×5.47=5371.54
598×78=46,644
5371.54-46644=4805.10
4805.10+28=4805.38
If you borrow $1000 for 5 years at an interest rate of 10%, the amount of interest you pay is?
Answers
Answer:
p=1000
t=5 years
r=10%
i=(ptr)/100
i=(1000×5×10)/100
i=50000/100
i=500
Convert 389.1 L to mL
Answers
I’ll markbrainluest A local water park has two types of season passes. Plan A costs a one-time fee of $140 for admission plus $8
for parking every trip. Plan B costs a one-time fee of $50 for parking plus $23 for admission every trip. How
many visits must a person make for plan A and plan B to be equal in value?
Answers
Answer:
6
Step-by-step explanation:
140+8X=50+23X
8X-23X=50-140
-15X=-90
X=-90/-15
X=6 TRIPS IS THE ANSWER.
PROOF:
140+8*6=50+23*6
140+48=50+138
188=188
A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. what is the length of the radius of the circle? round your answer to the nearest tenth. use 3.14 for pi. 3.7 cm 4.9 cm 14.3 cm 15.4 cm
Answers
The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm
How to calculate the length of aan arc?The formula for calculating the legnth of an arc is expressed as:
L = rtheta
r is the radius
Theta is the subtended angle
Given the following
18 = r(7pi/6)
7pi r = 18 * 6
7pi r = 108
r = 108/7pi
r = 4.9cm
Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm
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Answer:
B or 4.9cm
Step-by-step explanation:
In ΔFGH, = 440 inches, = 990 inches and ∠G=164°. Find the length of , .
Answers
Answer:
1418 ( Hope this helps! )
Step-by-step explanation:
g= 440+990-2(440)(990) cos 164
g=193600+980100-2
g=193600+980100+837451.1895
g= 2011151.1895 Square root and round
simplify the expression -6(3x-4)
Answers
Answer:
-18x + 36 for the -6(3x-4) and 12x - 20 for the one on the image.
Step-by-step explanation:
You have 2 questions so I'll answer both of them (One written and the image as well)
-6 (3x-4)
You need to multiply -6 by 3x and -4
-18x + 36 Is the simplified version
**Remember that when multiplying two negatives they turn into a positive.
-2x (-6 + 10)
You need to multiply -2x by -6 and 10
12x - 20
Use the long division method to find the result when 4x3 -2x2 – 15x + 6 is
divided by x-2
Answers
Answer:
[tex]4x^2+6x-3[/tex]
Step-by-step explanation:
"/" substitutes the normal division symbol
[tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]
______________
[tex]x-2/4x^3-2x^2-15x+6[/tex]
[tex]4x^3[/tex] [tex]-8x^2[/tex]
______________________
[tex]6x^2[/tex] [tex]-12x[/tex]
______________________
[tex]-3x+6[/tex]
x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below the [tex]-2x^2[/tex] . Subtract the first row from the second row.
x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]
please answer it correctly
Answers
Answer:
40 degrees
Step-by-step explanation:
if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.
Answer:
The value of angle 2 = 40°
Step-by-step explanation:
Given : angle 1 = 140°
angle 1 + angle 2 = 180° { because they are linear pair }
=> 140 + angle 2 = 180°
=> angle 2 = 180 - 140
=> angle 2 = 40°
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table to find the number of new Fuji apple trees the owner should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees.
Ratio table
Fuji apple trees | __ __ 160
Gala apple trees | 30 __ 120
Please fill in the blank spaces in the table
Answers
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table:
Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3
Hence, for 30 new galla trees, number of Fuji trees is:
Fuji trees = (4/3) * 30 = 40
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
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An appropriate statistical tool for accounting for sampling error in an estimate is A. A scatter chart B. A frequency distribution C. A confidence interval D. A standardized score E. All of the above F. None of the above
Answers
The statistical tool for accounting for sampling error in an estimate is confidence interval.
What is sampling?The term sampling has to do with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.
Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.
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Please help!!
Find the value of x
A. 12
B. 6
C. 10
Answers
Answer:
x = 12
Step-by-step explanation:
Let's find the measure of major arc MNB:
360 - arc MB = major arc MNB
Now, let's plug in what we know:
360 - (80 + 60) = major arc MNB
Next, combine like terms, and replace "major arc MNB" with "x."
360 - 140 = x
220 = x
Now, we know that the measure of major arc MNB equals 220 degrees.
Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:
2(Angle MLB) = major arc MNB
Now, let's plug in what we know:
2(9x + 2) = 220
Finally, let's solve for x:
18x + 4 = 220
18x = 216
x = 12
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
3*2/3=2
can anyone help me???
Answers
Answer:
6
Step-by-step explanation:
3 3/4 = 15 / 4 = 105 / 28
2 7/28 = 63/28
105/68 + 63/28 = (105 + 63) / 28 = 168/28 = 6
[tex]3 \frac{3}{4 } + 2 \frac{7}{28} [/tex]
to find:the simplest form.
solution:[tex] \frac{15}{4} + \frac{9}{4} [/tex]
[tex] = \frac{(15 \times 4) + (9 \times 4)}{4 \times 4} [/tex]
[tex] = \frac{60 + 36}{16} [/tex]
[tex] = \frac{96}{16} [/tex]
[tex] = 6[/tex]
therefore the correct answer is option C.
Please solve and show your work
SA=π(9)²+π9*19
* is how I do the multiplication symbol btw
Answers
Answer:
791.28
Step-by-step explanation:
1. 3.14*9²=254.34
2. 3.14*9*19=536.94
3. 536.94+254.34=791.28
Drag the numbers to order them from greatest to least, with the greatest at the top.
Answers
Answer:
the order that they are in right now is right
Step-by-step explanation:
Mei runs the same distance 6 days each week. In 4 weeks, she runs 151.68 miles. How many miles does Mei run each day?
Answers
Answer: 6.32
Step-by-step explanation: 6 days a week in 4weeks Is 24days
Divide the total distance by 24
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and 9 girls are competing, how many different ways could the six medals possibly be given out?
Answers
Answer:
the six medals possibly be given out by three medals for girl and three medals for boy
Sam buys a DVD player for $55. 95 and it is on sale for 40% off regular price. How much money will same save
Answers
Answer:
$ 22.38
Step-by-step explanation:
If the pre-sale price is $ 55.95
40 % of this would be .4 * 55.95 = $ 22.38
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answers
Answer:
12/13
Step-by-step explanation:
We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.
The adjacent side to angle C is BC
The hypotenuse is AC because it is opposite to the right angle
So...
cosine is (BC)/(AC)
36/39
12/13
Please Help i need to know this asap
Answers
Answer:
(0, - 6)
Step-by-step explanation:
Midpoint Formula
M = (x₁ + x₂ / 2, y₁ + y₂ / 2)Solving
M = (-3 + 3 / 2, -7 - 5 / 2)M = (0, -12/2)M = (0, - 6)Answer:
The midpoint is (0, -6)
Step-by-step explanation:
Step 1: Determine the midpoint
[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]
[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]
[tex]midpoint = (0, \frac{-12}{2})[/tex]
[tex]midpoint = (0, -6)[/tex]
Answer: The midpoint is (0, -6)