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
Alecsey [184]
3 years ago
9

cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a c

ylinder with height 9 inches and radius 2r r fill?
Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

height:

h = 9 in

radius:

r = r

The volume of a cylinder is given by:

V=\pi r^2 h

Therefore, the volume of the 1st cylinder is

V=\pi r^2 9=9\pi r^2

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

and radius

r' = 2r

So the volume of this cylinder is

V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2

This means that the number of pitchers that can be filled by this 2nd cylinder is

n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4

You might be interested in
Find the equation of the line with slope = -8 and passing through (-2,12). Write your equation in the
scoundrel [369]

Answer:

y=-8x-4

Step-by-step explanation:

4 0
3 years ago
In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a
Elis [28]

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

8 0
3 years ago
NO LINKS HELP PLEASE PLEASE EXPLAIN ​
Iteru [2.4K]

Answer:  1,278

Step-by-step explanation: 2(18x18)+2 1/2(18x14)

p.e.m.d.a.s. 18x18= 324       18x14= 252

2x324= 648      2.5x252=630

648+630 =1,278

4 0
2 years ago
you are creating a model of the solar system and an asteroid that has a linear path that travels through it. The sun is at the c
Anettt [7]

Answer:

still thinking

Step-by-step explanation:

6 0
3 years ago
Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The func
masha68 [24]
The answer to the question is A. 7%.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Under what conditions is the total cell phone bill the same for service from either company? a. the cost is $23.95 for both comp
    10·2 answers
  • 3 1/4 divided into 13
    9·1 answer
  • What are the side lengths of an equilateral triangle with a perimeter of 8 1/4?
    13·1 answer
  • ---&gt;WORTH 50 POINTS &lt;--- Question in the attachment below. I will give brainiest to best answer. Please show work.
    15·2 answers
  • a hot air balloon begins its descent at a rate of 22 1/2 feet per minute. how long will it take for the balloons elevation to ch
    9·2 answers
  • Determine the principal value of the function: Arc sin(square root of 3/2)
    11·1 answer
  • Help!!! Thanks!!!!!!!
    15·1 answer
  • Solve for x.<br> 5x - 6 = 4x + 8<br> Ox=-14<br> Ox=-2<br> Ox= 14<br> Ox=2
    13·1 answer
  • 2. What are the coordinates of point C?
    7·2 answers
  • Which of the following conditions will guarantee that line l is parallel to line m in the diagram?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!