All categories

3 years ago

A company makes two sizes of cylindrical shaped boxes. The ratio of the heights is 5:7.

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

Answer:

The volume ratio is also 5 : 7

Step-by-step explanation:

The volume of a cylinder is given by the following formula:

volume = pi*r²*h

Since we have two cylinders and their height varies at a ratio of 5:7 we can say that the smaller one has a height of "h" while the bigger has height of "(7/5)*h". Thefore their volume is:

volume smaller = pi*r²*h

volume bigger = pi*r²*(7/5)*h

volume bigger = (7/5)*pi*r²*h

The ratio of their volume is given by the division of the smaller volume by the bigger one:

volume ratio = volume smaller / volume bigger

volume ratio = (pi*r²*h) / [(7/5)*pi*r²*h] = 1/(7/5)

volume ratio = 5/7

The volume ratio is also 5 : 7.

You might be interested in

write an expression for the number of floors the building can have for a given Building height. So what the variable in your exp

ELEN [110]

Let the height of each block be x, and no. Of blocks be y
Then,
yx=h

3 0

2 years ago

At part of an hour passes between 3:12pm an 4:30pm <br> Help

uranmaximum [27]

Answer:

1h 18min

Step-by-step explanation:

Not sure if that is what the problem is asking you.

7 0

2 years ago

Read 2 more answers

Consider a Job of 715 bytes that arrives for processing using a page size of 126 bytes, how many bytes would be loaded onto the

pav-90 [236]

Answer:

Total 6 pages will be consumed and 85 bytes will be on the 6th page.

Step-by-step explanation:

Let the number of pages used for the job = x

If the page size is 126 bytes.

Then total number of bytes used for the job = 126x

If these bytes are equal to 715 bytes then the equation will be

126x = 715

x = $\frac{715}{126}$

= 5.674 pages

That means 6 pages will be consumed.

and consumed bytes in 5 pages will be = 5×126 = 630 bytes

So remaining bytes will be on sixth page and the number will be = 715 - 630 = 85 bytes.

8 0

2 years ago

About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm l

GenaCL600 [577]

Step-by-step explanation:

Cardboard needed to make tube =

Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube

given r = 2.25cm

L = 24cm

Cardboard needed =

$2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2}$

3 0

2 years ago

40 points and brainliest to the best correct answer, questions in photo.

vodomira [7]

Answer:

2. w = -3

4. c = -2

6. r = 7

8. n = 4

Step-by-step explanation:

It's hard to read the photo, but I'll try.

$2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1}$

On the left side, you have a product of 2 powers with the same base.

Give the same base and add the exponents, as in the rule

$a^m \times a^n = a^{m + n}$

You get on the left side 2 to the sum of the exponents.

$2^{w + 4 + 4w + 6} = 2^{2w + 1}$

Simplify the long exponent on the left side.

$2^{5w + 10} = 2^{2w + 1}$

Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.

Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.

5w + 10 = 2w + 1

Subtract 2w from both sides. Subtract 10 from both sides.

3w = -9

Divide both sides by 3.

w = -3

$\dfrac{1}{5} = 5^{2c + 3}$

We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.

Recall the rule:

$a^{-n} = \dfrac{1}{n}$

Apply this rule to the left side in reverse.

$5^{-1} = 5^{2c + 3}$

Now we have two powers that are equal, both having the same base, 5, so the exponents must be equal.

2c + 3 = -1

2c = -4

c = -2

$216 = 6^{2r - 11}$

This is the same idea as problem 4. Write the left side as a power of 6.

$6^3 = 6^{2r - 11}$

$2r - 11 = 3$

$2r = 14$

$r = 7$

r = 7

$4^{n} \times 4^{2n - 9} = 64$

This problem is similar to problem 2.

$4^{n + 2n - 9} = 4^3$

$4^{3n - 9} = 4^3$

3n - 9 = 3

3n = 12

n = 4

4 0

2 years ago