Answer:
Volume of a Cylinder:
In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.
The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.
Remember that the radius and the height must be in the same units - convert them if necessary.
The resulting volume will be in those cubic units. So if the height and radius are both in centimeters, then the volume will be in cubic centimeters.
The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π· r2· h
Example 1: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. Find the capacity of the tank in kiloliters (1kl = 1m3).
Solution:
Base radius: r = 7 m
Height: h = 11 m
The water storage tank is in the shape of the cylinder. So using the volume of cylinder formula we can find the volume of it.
V = π· r2· h
V = π· 72· 11
V = 1692.46 m3 = 1692.46 kl
Example 2: Find the volume of a cylinder whose base radius is 6 cm and height is 4 cm.
Solution:
Base radius: r = 6 cm
Height: h = 4 cm
V = π· r2· h
V = 3.14· 62· 4
V = 452.16 cm3
Example 3: If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, find the depth of the tank.
Solution:
Let the depth of the tank be h metres. Then we have:
V = π· r2· h
h = V / π· r2
h = 12 m
Example 4: A conical vessel, whose internal radius and height is 20cm and 50 cm respectively, is full of liquid. Find the height of the liquid if it is put into a cylinder whose base radius is 10 cm.
Solution:
The volume of the vessel is:
V = π ∙ r2 ∙ h / 3
V = π · 202· 50 / 3
V = 20944 cm3
The volume of the liquid is the same no matter it is in the vessel or in the cylinder, therefore we have:
V1 = V2, where V1 is the volume of the vessel and V2 is the volume determined using the formula for a cylinder.
20944 = π · 102 · h
Thus:
h = 20944 / (π · 102)
h = 66.67 cm
Example 5: Find the volume of a right circular cylinder whose curved surface area is 2640 cm2
And the circumference of its base is 66 cm.
Solution:
To begin with we need to determine the base radius using the formula for circular perimeter (circumference).
P = 2 · π ·r
r = P /(2 · π) = 66 / (2 · π) = 10.50 cm
Now we will find the height of the cylinder using the formula for surface area of a cylinder.
SA = P · h
h = SA / P = 2640 / 66 = 40 cm
The volume of the cylinder is therefore:
V = π· r2· h
V = π· 10.502· 40
Select the graph of y= sin x.
Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).
Which graph is the graph of sin(x)?To identify the graph of sin(x), we need to remember some points of the sine function.
We know that sin(0) = 0, this means that this passes through the point (0, 0).
And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).
With that in mind, the graph that passes through those two points is the first one, so that is the correct option.
If you want to learn more about the sine function:
https://brainly.com/question/9565966
#SPJ2
Answer:
A.
Step-by-step explanation:
Believe me! I got it right on the program!
you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30
Answer:
15 pounds
Step-by-step explanation:
we can set up a proportion:
5/10=x/30
solve for x:
5/10=x/30
10x=150
x=15
(or you could've done 5*3=15 since $30/$10=3)
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?
What is the distances between (3, 10) and (3, -8)
Answer:
(0,-12)
Step-by-step explanation:
is this what your looking for? what form would you like me to answer this in?
what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]
om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev
5,203,870,272
Step-by-step explanation:
8×3^14×136
=(8)(4782969)(136)
=(38263752)(136)
=5,203,870,272
i think this is the answer
Can you help I’m really stuck on this question.?.?.
No links. Pleas
Answer:
We can't see it all that well sorry.
Step-by-step explanation:
Find the radius of a circle, when the diameter is 29 cm
Answer:
14.5cm
Step-by-step explanation:
radius is half of diameter
29 / 2 = 14.5
Which of the sequences is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
Answer:
letter D is the correct answer
Step-by-step explanation:
hope it helps
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
A
Step-by-step explanation:
It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit
Answer:
Dr. Gavin needs to recruit 200 participants.
Step-by-step explanation:
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.
This means that there will be 2*4 = 8 cells.
Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?
25 people in each cell, 8 cells. So
25*8 = 200
Dr. Gavin needs to recruit 200 participants.
11 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Answer:
1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it
Answer:
I would love to help but can you zoom in on the question I can't really read it
Step-by-step explanation:
I would appreciate it if someone could help answer this problem:)
Answer:
[tex]x=85^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of any polygon with five sides is equal to [tex](5-2)\cdot 180=3\cdot 180=540^{\circ}[/tex]. Therefore, we can set up the following equation and solve for [tex]x[/tex]:
[tex]115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}[/tex]
first to reply i will give brainliest btw there is no qusetion
Answer: Hii!
Step-by-step explanation:
What is the value of b on the number line below?
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
Complete the assignment on a separate sheet of paper
Please attach pictures of your work.
Answer:
Value of x = 15.1 unit (Approx.)
Step-by-step explanation:
Given:
For angle 54°
Base of triangle = 11 unit
Perpendicular of triangle = x unit
Find:
Value of x
Computation:
Using trigonometry function;
Tanθ = Perpendicular / Base
Tan 54 = Perpendicular of triangle / Base of triangle
Tan 54 = x / 11
1.376 = x / 11
Value of x = 1.376 × 11
Value of x = 15.136
Value of x = 15.1 unit (Approx.)
Lily makes regular deposits to a savings account to save
money for retirement. She deposits $1000 to the account
and didn't add any additional money. The account offers
compound interest annually at a rate of 4%. How much
money does Lily have in her account in 2 years?
Step 1:
What is the Pr?
Pis ris
A=P(1+
tis
Step 2
Totalmolol is
(final answer)
1% 1+100
1/100
4% 4 +100 4100
92 9 +1000/100
1102.4
1081.6
O 1020.8
O 1108.6
Answer:
Step-by-step explanation:
jus needed the points lolz
Can you please help me solve this problem using the Pythagorean theorem I’m so lost!!! (I Will give a brainliest if you help)
Question #6
Show steps
Correct answer is A
We'll first need to determine what the composite function f(g(x)) is equal to.
Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2
So we get the following:
[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]
Next, we apply the derivative
[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]
Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.
The last thing we do is plug in x = 3 and simplify.
[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]
Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.
Does anyone know this
Answer:
The scale factor is greater than 1
Step-by-step explanation:
Compute the permutation.
5 P 4
5
20
120
Answer:
Step-by-step explanation:
5P4=5×4×3×2=120
what is 9-3 3/7? answer pls
Answer:
6.5
Step-by-step explanation:
6.5
Answer:
5 4/7
Step-by-step explanation:
if i read your question right that is the answer
Find the measure of angle A
Pls help
Step-by-step explanation:
x+85+x+44+63=180(sum of angles of a triangle)
or,2x+192=180
or,2x=180-192
or,x=-12
Angle A=x+44
=-12+44
=32°
Give brainliest plse .
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?
Answer: 1/2
First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.
Hey May I Ask Whats The Rule Of This Number
Answer:
add 4x1, then 4x2, then 4x4, then 4x8, etc
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
The answer is $22.75! (A)
Step-by-step explanation:
All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.
22.75 + 13.75 = 36.50