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
How much is 10% off 900$
Goryan [66]
$810 !! hope this helps :)
3 0
3 years ago
Trigonometry question! find the vaule of x. round to the nearest tenth!​
atroni [7]

Answer:

<h2>x = 88.2</h2>

Step-by-step explanation:

Look at the picture.

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have a measure of the angle and length of the adjacent:

\alpha=10^o,\ adjacent=500

\tan10^o\approx0.17633

Substitute:

\dfrac{x}{500}=0.17633             <em>multiply both sides by 500</em>

x=88.165\to x=88.2

8 0
2 years ago
For a standard normal distribution, which of the following variables always equals 1?
STatiana [176]

Answer:

Z=1

Step-by-step explanation:

5 0
2 years ago
Which value of x is a solution of the inequality 12x-14&lt;61
pochemuha

An inequality is solved by more than one value - usually an interval, or a union of intervals.

In this case, we have:

12x-14

Add 14 to both sides:

12x

Divide both sides by 12:

x

4 0
3 years ago
Can you please help me
lubasha [3.4K]

Answer:

225 cm ^ 3

Step-by-step explanation:

First find the volume of the rectangle that is most horizontal.

L * W * H = 10 * 3 * 3 = 90

Then find the volume of the most vertical rectangle

L * W * H = 15 * 3 * 3 = 135

add them together to get...

225

4 0
3 years ago
Other questions:
  • Two sevenths of a number subtracted from two fifths of that same number is 8. find the number
    12·1 answer
  • What is 9,235.2 written in scientific notation?
    15·1 answer
  • Which model represents the factors of x 2+9x+8
    7·1 answer
  • Legislative Committee A legislative committee consists of 5 Democrats and 4 Republicans. A delegation of 3 is to be selected to
    5·1 answer
  • If angle A in the diagram equals 45 degrees determined the value of x and n is 4x+5
    14·1 answer
  • Find the missing measure <br><br><br> ; Help me understand how to solve this.
    6·1 answer
  • 11. Dustin wants to build a storage box with the following dimensions: 12 inches by 2.25 ft by 1/3 yd.
    13·1 answer
  • Choose an equivalent ratio. 5:7<br><br> A) 7:9<br> B) 10:14<br> C) 14:15<br> D) 15:23
    12·2 answers
  • What is the value of x? Enter your answer in the box. °
    7·1 answer
  • Select all the functions include the point (8, 64).
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!