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miv72 [106K]
3 years ago
6

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

e volume to the surface area.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

  f(r) = r/4

Step-by-step explanation:

The volume formula for a cylinder is ...

  V = πr^2·h

The total surface area of a cylinder is ...

  A = 2πr^2 +2πrh

Then the ratio of volume to surface area is ...

  V/A = (πr^2·h)/(2πr(r+h)) = rh/(2(r+h))

__

In this problem, we have h = r, so the ratio becomes ...

  V/A = r·r/(2(r+r)) = r/4

As a function of r, this is ...

  f(r) = r/4

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It is 2.8km from David’s house to the nearest mailbox. How far is it in meters?
Ganezh [65]

Solution

Distance in km = 2.8 km

Distance in m = 2.8 x 1000m

Distance in m = 2,800m

5 0
1 year ago
using two of the number cards from the list, fill in the gaps so that the values are in ascending order
Mademuasel [1]

The two gaps of the series are 236 % and 2.41.

The series is 2(32/100) _, _ , 247/100.

We are given that the series is in ascending order.

Let the missing numbers be x and y respectively.

We know that  2(32/100) = 2.32 in decimal form and 247/100 is 2.47 in decimal form.

Hence, we can write,

2.32 < x < y < 2.47

The given options are:-

231 % = 231/100 = 2.31 < 2.32

Hence, it is not the answer.

0.42 < 2.31

Hence, it is not the answer.

236 % = 236/100 = 2.36 > 2.31

Hence, this is one of the answers.

34 % = 0.34

0.34 < 2.31

Hence, it is not the answer.

0.237 < 2.31

Hence, it is not the answer.

2.41 > 2.32

Hence, this is one of the answers.

24.2 % = 24.2/100 = 0.242 < 2.31

Hence, it is not the answer.

0.36 < 2.31

Hence, it is not the answer.

As, 2.36 < 2.41, hence,

x = 2.36 or 236 % and,

y = 2.41

To learn more about  series, here:-

brainly.com/question/15415793

#SPJ1

6 0
1 year ago
Find the slope of the line passing through the points (9,2) and (9,-5)
-BARSIC- [3]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (9, 2) and (x₂, y₂ ) = (9, - 5)

m = \frac{-5-2}{9-9} = \frac{-7}{0}

Since division by zero is undefined then the slope is undefined.

This indicates that the line is vertical.

4 0
3 years ago
Which expression represents "5 times the sum of 4 and y?"
Mkey [24]

Answer:

5 x (4+y)

Step-by-step explanation:

8 0
3 years ago
The sum of the ages of Mr Lin and his son Ethan is 38 years. In three years' time, Mr Lin will be three times as old as his son.
Sati [7]

Answer:

Mr.Lin's present age is 30 years now. His son is 8 years old now.

Step-by-step explanation:

Let L = Mr.Lin's present age,

   S = his son's present age.

First equation  is

L + S = 38.       (1)

The second equation is  

L + 3 = 3*(S+3)   (2)   ("In three years' time, Mr.Lin will be three times as old as his son.")

From (1), express S = 38-L and substitute it into (2). You  will get

L + 3 = 3*((38-L)+3),   or

L + 3 = 114 - 3L + 9,

4L = 114 + 9 - 3,  

4L = 120,

L = 30.

8 0
3 years ago
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