1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvasek [131]
3 years ago
12

1 Point

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

You might be interested in
A florist is creating centerpieces for an upcoming event later this evening. She has already been working for two hours and has
saul85 [17]
120 + 15x greater than or equal to 360
5 0
3 years ago
Read 2 more answers
To amend U.S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve an amendment, will the Constit
Elodia [21]
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
5 0
3 years ago
Read 2 more answers
I need help on my story problems 
victus00 [196]
1) 3/4 - 1/2 = 3/4 - 2/4 = 1/4. Vanessa's brothers ate half of the cake. 

2) 1.75 + 2.4 = 4.15.  6.5 - 4.15 = 2.35.  4.15 = 2.35 = 1.8.  Chad hiked 1.8 ore miles in the morning than in the afternoon. 
8 0
3 years ago
Hey! i’ll give brainliest please help.
xeze [42]
I think the answer is A sorry if I’m wrong
7 0
2 years ago
Will give brainliest
vlada-n [284]

Answer:

im not sure?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?​
    11·1 answer
  • 0.1 is 10 times as much as
    10·2 answers
  • 1. If you are given a fraction, what can you do to create an equivalent fraction? Tell why this method works.
    5·1 answer
  • What are the coordinates of the terminal point for 0=330
    13·1 answer
  • Which property is used in the first step to solve this equation?
    8·2 answers
  • A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T.
    6·1 answer
  • A researcher designs an experiment by manipulating the following variables: temperature (low or high), illumination level (low o
    11·1 answer
  • The roof of a house is in the shape of a square pyramid and its net is shown below. The length of each side of the square is 30
    7·1 answer
  • Susan loved her four dogs. Sneakers was younger than Socks, but older than Butters. Pickles is in between Socks and Sneakers. Li
    15·1 answer
  • Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!