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
mafiozo [28]
3 years ago
10

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t

he height of 7 centimeters. Find the volume of empty space in the cylinder.
Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

You might be interested in
In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.
kotegsom [21]
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
6 0
3 years ago
I am doing rate of change, question is down below.<br> I have two questions.Both down below.
guapka [62]

Answer:

For the first question, the answer is 4/3. For the second it is 16.

Step-by-step explanation:

I just took the quiz! Can I please have Brainliest? Hope this helped!

5 0
2 years ago
Read 2 more answers
You and your friend are painting the walls in your apartment. You estimate
Novay_Z [31]

Answer:

Honestly I dont know man, Im pretty sure you already  found thee answer already since this was in April

Step-by-step explanation:

3 0
3 years ago
(k + 3)by the power of 3​
kolezko [41]
Your answer is: 3k + 9
7 0
2 years ago
Which transformation is not isometric?
kumpel [21]
D .............................
7 0
3 years ago
Read 2 more answers
Other questions:
  • 6p - 5 = 13 <br><br> What equals p?
    6·2 answers
  • 82 in = hiw many. Ft <br> Boyfriend quite helping me i need help
    7·2 answers
  • 2,023 nearest hundred
    10·2 answers
  • Write the perfect squares that are greater than 150 and less than 250
    10·2 answers
  • Simplify the expression (6^4)^2
    11·1 answer
  • you have a bag of 10 marbles. three of them are red ,five are blue, and two are green.what is the probability of not picking a g
    5·2 answers
  • Look at the image please worth points (don’t reply if you don’t have an answer)
    11·2 answers
  • Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
    6·2 answers
  • Hey guys I really need your help on this so basically there’s this guy at school he’s new his name is Drake and he’s the sweetes
    9·2 answers
  • If Joe printed 7 flyers in 56 minutes how many did he print in one minute
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!