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
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

You might be interested in
Problem 1: 2x &gt; 4x - 6<br> problem 2: -3r &lt; 10 - r<br> problem 3: 5c - 4 &gt; 8c + 2
Trava [24]
<span>Problem 1: 2x > 4x - 6
                  2x < 6  
                    x < 3

problem 2: -3r < 10 - r
                   -2r < 10
                      r > -5

problem 3: 5c - 4 > 8c + 2
                       3c < -6
                         c < -2</span>
8 0
4 years ago
Anyone know the answers to this ?!
torisob [31]

Answer:

Hey there!

3 x 5/4 = 3 x 5 ÷ 4 = 5 x 3 ÷ 4

5 x 4/3 = 5 x 4 ÷ 3 = 4 x 5 ÷ 3

4 x 3/5 = 4 x 3 ÷ 5 = 4 x 3 ÷ 5

Hope this helps :)

5 0
3 years ago
I need help! I forgot how to do this problem
Nataly [62]

Answer:

C.

Step-by-step explanation:

8 0
3 years ago
Help with my math i will mark brainliest
Ganezh [65]
N=0




Done !!!!!!!! Can I get brainliest
4 0
3 years ago
Read 2 more answers
On monday, deborah ran 3 2/5 miles and on tuesday she ran 4 1/5 miles how many miles did she run on these 2 days togehter
Iteru [2.4K]
Convert the two fractions into simpler fractions: 3 2/5 --> 17/5 and 4 1/5 --> 21/5. Notice the the denominators are identical, so we simply add the numerators: (17 + 21)/5 = 38/5 = 7 3/5. 

There is an easier way to do this, this is just the most clear way of seeing everything. 
8 0
3 years ago
Other questions:
  • The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is
    16·2 answers
  • Can someone help with this?
    6·1 answer
  • A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?
    15·1 answer
  • Can anyone answer 2 through 4 for me ?
    11·1 answer
  • PLZ HURRY! I'LL GIVE BRANLIEST
    8·1 answer
  • What is the meaning of the point (25, 20)?
    15·1 answer
  • I need help pleaseeew !!!
    14·1 answer
  • PLEASE HELPPPP!! i need this quicklyyy
    7·1 answer
  • PLS HELP!!! WILL MARK BRAINLIEST!!
    15·1 answer
  • What equivalent ratios goes with 40:28
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!