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Katen [24]
3 years ago
10

the height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of th

e surface area to the volume
Mathematics
2 answers:
Tju [1.3M]3 years ago
8 0

Answer:

7/3r

Step-by-step explanation:

To find the simplest form, we must find the relationship between the surface area and volume of a cylinder. The cylinder with radius r and height h has;

surface area = 2πr (r + h)

volume = πr²h

hence the ratio of surface area to volume

= 2πr (r + h) : πr²h

= 2(r + h) = rh

Hence if the height is 6r and the radius is r

The ratio is

= 2(r + 6r) : r(6r)

= 14r : 6r²

= 7:3r

Fynjy0 [20]3 years ago
7 0

Answer:

ratio of surface area to volume = 7 to ratio 3r

Step-by-step explanation:

The volume of a cylinder = πr²h

Surface area = 2πr(r + h)

where

r = radius

h = height

h = 6r

where

r = radius

volume = πr²h

volume = π × r² × 6r

volume = 6πr³

surface area = 2πr(r + h)

surface area = 2 × π × r (r + 6r)

surface area = 2πr(7r)

surface area = 14πr²

surface area = 14πr²

ratio of surface area to volume = 14πr²/ 6πr³

ratio of surface area to volume = 7/3r

ratio of surface area to volume = 7 to ratio 3r

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2 years ago
15% of what number is 234
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3 years ago
Read 2 more answers
Quadrilateral ABCD?<br>​
Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = \sqrt{(-2 - 2)^{2}  + (-5 - 4)^{2} }

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

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6 0
1 year ago
in 2011, an Action Comics no. 1, featuring first appearance of superman, was sold at auction for $2,161,000. The comic book was
Salsk061 [2.6K]

Price of book in 1938 = $ 0.10

Price of book in 2011 = $ 2,161,000

Number of years over 1938-2011 = 2011 - 1938 = 73

Annual increase in the price = ((\frac{\text{Price of book in 2011}}{\text{Price of book in 1938}}) ^ \frac{1}{\text{Number of years}} - 1 ) * 100

⇒ Annual increase in the price = ((\frac{2,161,000}{0.1}) ^ \frac{1}{73} - 1 ) * 100

⇒ Annual increase in the price = (1.260302283  - 1 ) × 100

⇒ Annual increase in the price = 0.260302283 × 100

⇒ Annual increase in the price = 26.0302283 %

⇒ Annual increase in the price = 26%

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3 0
2 years ago
Easy one - giving brainly - show work.<br>you can do any of the 3, i don't mind.​
Murrr4er [49]

Answer:

A

Total before tax: $118

Total after tax: $102.66

Step-by-step explanation:

For A, we add the cost of the shirt and jeans to get the total before tax.

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1% of $118 is $1.18

$1.18 * 13 = $15.34.

$118 - $15.34 = $102.66

Hope this helped! Have a nice day :)

6 0
2 years ago
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