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
pentagon [3]
2 years ago
10

Volume of cylinders, spheres, and cones word problems

Mathematics
1 answer:
DerKrebs [107]2 years ago
6 0
The problem is asking for the height of the fluid using the following information:

Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm


To start the solution, solve for the height
h
in the formula for the volume of a cylinder:

V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2


Substituting the values of the volume and the radius, the height of the fluid is:

h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144
≈
12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm

Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.
You might be interested in
400,00 has a value of 400
AfilCa [17]
It cant really because 400,00 is greater than 400 so it would not work
6 0
3 years ago
What are the measures of x y and z
Svetlanka [38]
Hahah what you learning...............
7 0
3 years ago
Plz help me answer this
timofeeve [1]

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

13x - 6y = 22

x = y + 6

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                              13(y + 6) - 6y = 22
  2. Distribute 13:                                 13y + 78 - 6y = 22
  3. Combine like terms:                      7y + 78 = 22
  4. Isolate <em>y</em> term:                                7y = -56
  5. Isolate <em>y</em>:                                         y = -8

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    x = y + 6
  2. Substitute in <em>y</em>:                                     x = -8 + 6
  3. Add:                                                      x = -2
4 0
3 years ago
Write an equation to represent the relationship found in the table
PilotLPTM [1.2K]

Answer:

15= 5x+ 2

Step-by-step explanation:

y= mx+b

y is the intercept,

8 0
2 years ago
PLEASE HELP ME!!! there's an equation: y × 6 for y = 2/3. what the heck is the y?!​
ElenaW [278]

Answer:

y equals 2/3. u have to do 2/3 ×6 I'm pretty sure

6 0
2 years ago
Other questions:
  • Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'
    13·1 answer
  • some help me please help me please help me please help me please help me please help me please help me please
    15·2 answers
  • Bo is buying a board game which usually costs B dollars. The game is on sale, and the price has been reduced by 18% There are di
    8·1 answer
  • Show and explain why 6 is not a solution to the inequality below.<br> 2x - 9 ≥ 5
    5·1 answer
  • 11.8.1
    6·1 answer
  • Solve the following System Of Equations Using Substitution or Elimination Methods. Show Work.
    7·1 answer
  • Simplify [-12 - 3 / 4 ] - [23 - 42 / 8]
    15·1 answer
  • MY LAST QUESTION<br><br> help me pleaseee<br><br> thankss
    15·2 answers
  • describe whether the association in the scatter plot below is linear or non-linear and positive or negative.​
    6·1 answer
  • Mike has a large amount of chocolate spheres, each chocolate sphere having a radius of 2 inches.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!