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Aleonysh [2.5K]
3 years ago
15

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 th

e larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

Darina [25.2K]3 years ago
7 0

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

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

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

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olga_2 [115]

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

(x-h)^2+(y-k)^2=r^2

with center at (h,k)

you have the following equation:

(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

(-5,9+r)=(-5,9+\sqrt{8})

Then, one point that lies in the circle is (-5,9+√8)

3 0
3 years ago
Jason puts $30 worth of gas in his truck. The price per gallon was $2.50. Which equation can be solved to find the number of gal
tankabanditka [31]

So, this is a rate problem, so the forumla we would get is


2.5g=30

(Note this is not one of the choices), so if we look, there is an equivelent equation.

If we divide both sides by g we get

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B is the correct answer

8 0
3 years ago
Help!!<br> help on 33 please .
oksian1 [2.3K]
Description: They didn't distribute the 3 to both x and 5, so they just had 3x+5.
actual problem:
3(x+5)=3x+15
3x+15=3x+15
subtract 3x from both sides and end up with
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5 0
3 years ago
HELP PLEASE!!!!
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4 0
3 years ago
Which is equivalent
arlik [135]

Answer:

D  8√(10) ^3x

Step-by-step explanation:

We have

sqrt(10) ^ (3/4x)

We can rewrite the sqrt as ^1/2

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We know that a^b^c = a^(b*c)

10 ^(1/2 *3/4x)

10 ^(3/8 x)

The numerator is the power

The denominator is the root

8√(10) ^3x

8 0
3 years ago
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