The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)

Answers

Answer 1

Answer:

1809 cm³

Step-by-step explanation:

Given the scale factor:

k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

v = 67 cm³V = x

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

v/x = k³67/x = (1/3)³x = 67*27x = 1809 cm³


Related Questions

What is the difference between an inscribed angle and a central angle?

Answers

Answer/Step-by-step explanation:

An inscribed angle is an angle that is formed by two chords in a circle. The vertex of an inscribed angle is at any point on the circumference of the circle.

On the other hand, a central angle is an angle that is formed by two radii of a circle. The vertex of a central angle is at the centerbof a circle.

Thus, from the diagram attached below, <EFG is an inscribed angle while <EOG is the central angle of the circle O.

Inscribed angle = ½ of the central angle.

Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.

Answers

Answer:

The individual has 36.09 pounds of body fat.

Step-by-step explanation:

Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:

(187 x 19.3) / 100 = X

3.609.1 / 100 = X

36.091 = X

Therefore, the individual has 36.09 pounds of body fat.

A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch menu.
They asked parents and students to suggest new meals.
Which method of selecting new meals will produce an unbiased result?

Answers

all the suggested meals will be shuffled into one stack and every 10th suggestion will be used

165 Students went on a filed trip. three buses were filled and 21 students traveled in cars. how many students were in each bus?

Answers

Answer:

48 students in each bus

Step-by-step explanation:

help me pleaseeeeeeeee

Answers

Answer:

x = 25 degrees

Step-by-step explanation:

the angle for a straight line is 180, so add 125 and 30 together, which gets 155. then subtract 155 from 180 which gets 25 degrees as x

Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. A customer who signs up with Uptown will pay the same total amount for cable TV as a customer who signs up with Downtown if each pays for installation and cable programming for how many months?

3
3

6
6

10
10

18
18

30

Answers

Answer:

B) Six Months.

Step-by-step explanation:

We can write an equation to model each situtation.

Let m be the number of months and c be its total cost.

Uptown Cable charges $120 for the initial installation fee plus $25 per month. In other words, its total cost is:

[tex]c=120+25m[/tex]

Downtown Cable charges an initial $60 fee plus $35 per month. So:

[tex]c=60+35m[/tex]

To find after how many months will the two services remain the same, we can set the two equations equal to each other and solve for m. So:

[tex]120+25m=60+35m[/tex]

Solve for m:

[tex]60=10m\Rightarrow m=6[/tex]

The two cable companies will charge the same after six months of use.

Notes:

If the customer uses the service for less than six months, then Downtown Cable is better since its initial cost is lower.

If the customer uses the service for more than six months, then Uptown Cable is better since its rate per month is lower.

Chase is trying to pick out an outfit for the first day of school. He can choose from 4
pairs of pants, 7 t-shirts, 5 sweaters or hoodies, and 2 pairs of shoes. How many
different outfits does Chase have to choose from?

Answers

Answer: 88

Step-by-step explanation:

Answer:

4 or 7

Step-by-step explanation:

chase has a long situation

Rewrite the following equation in standard form. -5/6x - 2/5y = 10/3​

Answers

Answer:

the answer would be 25x+12y= -100

Select Transform to change the drawing of the figure. What is the area of the front of the prism? Area = cm2 2 cm 3 cm 6 cm Transform​

Answers

Answer:12 cm2

Step-by-step explanation:I’m smart

Answer:

it was 12

Step-by-step explanation:

I did the quiz, hope this helps have a good day.

(*˘︶˘*).。*♡

9>x
choose all the answer that apply
x=2
x=5
x=9​

Answers

Answer:

X = 9

I could not find any of the others close to it,, sorry if I’m wrong

Step-by-step explanation:

100 points / please help

A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?

a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional

Answers

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

Recipe A:

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Recipe B:

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Recipe C:

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

Now compare Recipe A, B & C.

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!

Answers

9514 1404 393

Answer:

15.4567.0787040.7872.0

Step-by-step explanation:

Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)

If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.

The second attachment shows the names of the number places, if you need a reminder.

Karina deposito S/. 3000 en un banco en un banco a una tasa de interes simple del 2% mensual ¿Cuánto ganara en dos años

Answers

Answer:

En dos años ganará S/. 4440.

Step-by-step explanation:

Puedes encontrar la respuesta utilizando la fórmula para calcular el valor futuro:

VF=VP*(1+(i*n))

VP= valor presente= 3000

i= tasa de interés= 0.02

n= número de periodos de tiempo= 24 meses (2 años corresponden a 24 meses)

VF=3000*(1+(0.02*24))

VF=3000*(1+0.48)

VF=3000*1.48

VF=4440

De acuerdo a esto, la respuesta es que en dos años ganará S/. 4440.

im having trouble. can someone please help me with this !

Answers

Answer:

28

Step-by-step explanation:

Answer:

x= 33

Step-by-step explanation:

The sum of the angles on a straight line is 180°. This is abbreviated as 'adj. ∠s on a str. line'.

104° +x° +(x +10)°= 180°

2x° +114°= 180°

2x°= 180° -114°

2x°= 66°

Divide both sides by 2:

x°= 66° ÷2

x°= 33°

x= 33

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

320 marks = 40 percent therefore the total marks for the exam= 320+320+160=800 marks.

Step-by-step explanation:

let the full marks be " x "

Rajani has scored 295 marks , if she would had scored 25 more marks then she would had passed the examination,

So, passing marks :

=》295 + 25

=》320

passing percentage ( P% ) :

=》

[tex]40 = \dfrac{passing \: \: marks}{total \: \: marks} \times 100[/tex]

=》

[tex]40 = \dfrac{320}{x} \times 100[/tex]

=》

[tex]x = \dfrac{320 \times 100}{40} [/tex]

=》

[tex]x = 8 \times 100[/tex]

=》

[tex]x = 800[/tex]

So, passing marks = 800 marks

An algebraic expression that contains three terms is called?
Monomial
Binomial
Trinomial
None of these

Answers

Answer:

Step-by-step explanation:

If the expression contains 3 terms none of which can combine with any other, the the expression is a Trinomial. An example of such a thing is f(x) = x^2 + 2x + 1.

The x cannot combine with the x^2 nor with the 1. The same can be said for the x^2 and the 1.

Answer:

Trinomial

Step-by-step explanation:

I got it Correct

hamid has gained weight.
he now weighs 88kg which is 10% higher than his normal weight
what is hamids normal weight?

Answers

Answer:

8.8 kilograms

Step-by-step explanation:

Answer: 83.6 Kg

Step-by-step explanation:

x * 0.1 = y ---> x = y/0.1

88 - y = x

y/0.1 = 88 - y

2y = 88 * 0.1

y = 4.4

88 - 4.4 = 83.6Kg

Suppose you are making a sail in the shape of a right triangle for a sailboat. The length of the longest side of the sail is 65 ft. The sail is to be 63 ft high. What is the length, in feet, of the third side of the sail?

Answers

Answer:

in right angled triangle ABC

hypotenuse [h]=65ft

base[b]=xft

height[p]=63ft

by using Pythagoras law

h²=p²+b²

65²=63²+x²

x²=65²-63²

x=√256

x=16feet

so the third side of the sail is 16ft.

Perpendicular=P=63Hypotenuse=H=65

Base:-

√H²-P²√65²-63²√16²16ft

Graph the function. f(x)=2x^2-5
please help ill give you brainliest

Answers

f(x)=2x^2+0x-5

Find the vertex

0/4=0=x

Input x into the equation to find y or f(x)

0+0-5=f(x)

(0,-5) = Vertex

Now find a random x coordinate to input into the equation.

Let's do 4.

32+0-5=f(x)=27

It may not look like a parabola due to it being uneven.

The graph of the function that represents a vertical parabola with vertex at ( 0 , -5) has been plotted and attached with the answer.

What is a Function ?

A function is a law that links two variables , a dependent and an independent variable .

The given function is

f(x) = 2x² - 5

y = a( x-h)² +k

this is an equation of a vertical parabola

(h,k) is the vertex

here ( 0 , -5) is the vertex

The graph of the function has been plotted and attached with the answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ2

A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)
.

Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?

Answers

Answer:

The level of confidence will increase.

Step-by-step explanation:

Could be wrong

The change in the sample size will lead to a decrease in the width of the interval.

What is a sample size?

A sample size simply means the number of subjects that are taken from the population for research.

In this case, increasing the sample size will decrease the standard error and therefore, the width of the confidence interval will reduce.

Therefore, as the sample size increases, the interval reduces.

Learn more about sample size on:

https://brainly.com/question/14470673

Someone help and plz make sure it’s right will give brainiest if it is :)

Answers

I think it is at 23 degrees (I am really sorry if I am wrong)

Answer:

67....................

4. How many ways can you shuffle 7 songs in a playlist?
A. 832,543
B. 720
C. 5040
D.49

Answers

Answer:

5040

Step-by-step explanation:

7×6×5×4×3×2×1=5040

We have that the the amount of ways you can ways can you shuffle 7 songs in a playlist  is mathematically given as

P=5040

Factorial

Question Parameters:

How many ways can you shuffle 7 songs in a playlist?

Generally the equation for the ways to play the songs are mathematically given as

Since the songs are ,therefore it will have seven factorials

P=7*6*5*4*3*2*1

P=5040

Therefore, the amount of ways you can ways can you shuffle 7 songs in a playlist is

P=5040

For more information on Arithemetic visit

https://brainly.com/question/22568180

2/7 done! If it’s right I will put brainliest!

Answers

Answer:

The name of the marked angle is (angle BAD)

Step-by-step explanation:

How do I find the point of intersection?

Answers

Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

Red Line:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

equation:  y = -x + 1

Blue Line:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

equation:  y = 2/3x + 11/3

Find Point of Intersection:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5

Which table is a proportional relationship?

Answers

Answer:

The blue one

4, 2

6, 3

12, 6

Step-by-step explanation:

Please help, I will give brainliest to whoever helps!

Answers

Answer:

H

Step-by-step explanation:

I'm legit smart bro quit playing

Answer:

C

Step-by-step explanation:

x - 1 = 0

x = 1

2x + 5 = 0

2x = - 5

x = - 5/2

Option C is the correct answer

On a map,the scale shown is 1inch:5miles.If an island is 75 square inches on the map,what is the actual area of the island?

Answers

1 inch = 5 miles

1 square inch =25 square miles

25 square miles x 75 square inches = 1,875 square miles

Answer : 1,875 square miles

sum of 20 and 8 minus the product of 3 and 5

Answers

Answer and Step-by-step explanation:

The sum of 20 and 8 would look like

20 + 8

Then we have to subtract the product of 3 and 5 from the sum of 20 and 8.

(20 + 8) - 3(5)

^That is the expression^

The answer, when you evaluate the expression, is:

28 - 15 = 13

#teamtrees #PAW (Plant And Water)

Q1) Braden has five quarters, three dimes, and four nickels in his pocket. He pulls one coin out of his pocket. What is the probability Braden pulls out a dime.

Answers

1/4. All you have to do is add up the number of coins total (12), and then take the number of dimes (3) and transform the numbers into a fraction. 3/12 simplifies to 1/4.

¿vienes y entretienes es una rima consonante o asonante?
AYUDA ES URGENTE. NO RESPONDAN CON TONTERIAS SI NO REPORTO
GRACIAS :)

Answers

Answer:

La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonantes.

Step-by-step explanation:

es sonante

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