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
Tatiana [17]
2 years ago
10

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available

3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.
3 inches
4 inches
6 inches
8 inches
9 inches
Mathematics
2 answers:
Sergeu [11.5K]2 years ago
5 0
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92

where V is the volume of each sphere
Solving for V
V = 113.0973

The formula for the volume of the sphere is:
V = (4/3) π r³

Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³

Since V = 113.0937
113.0937 = (1/6) π D³
D = 6

<span>Therefore, the diameter is 6 inches </span>
Igoryamba2 years ago
5 0
To find out how much is poured into each sphere divide 3 392.92 by 30 which is 113.097. This is the volume in each individual sphere. 
The volume of a sphere is calculated using the formula 4/3 x pie x r^3. From here you could either substitute your possible answers into the equation (Remembering to divide by 2 because your answers are the diameters) or you could work backwards and multiply by 2 at the end.
Hope this helps

You might be interested in
I really need help on this can someone please help me ASAP???!!!?
Charra [1.4K]

Answer:

They all have 90 degrees angles and they have the same width and height they are just on different sides

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the mean set of the set of numbers
Arturiano [62]

Answer:

2

Step-by-step explanation:

-10 - 5 + 2 + 6 + 17 = 10

10 / 5 = 2

7 0
3 years ago
Read 2 more answers
Tracy took a quiz containing 12 items. If she answered 5/6 of the items correctly how many items did Tracy answer correctly?
Orlov [11]

Answer:

10

Step-by-step explanation:

5/6=10/12


3 0
3 years ago
Read 2 more answers
Suppose there are n people on a bus. At the next stop, 9 more people get on the bus. No one gets of the bus. Draw a bar diagram
nordsb [41]

Answer:

Algebaric Expression & Bar Diagram graphic representation of number of people in bus.

Step-by-step explanation:

No. of people on bus = n

After 9 more boarding & no one deboarding the bus , no. of people = n + 9

Bar diagrams is graphical method for presentation of data. Presenting the given in bar diagram :

7 0
2 years ago
Solve the system with elimination. 2x+2y=4 x+3y=6
kotykmax [81]

Answer:

Point Form:

(0,2)

Equation Form:

x=0,y=2

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Could someone explain me question 9 thank you
    12·1 answer
  • A total of 516 tickets were sold for the school day. There were either adult tickets or student tickets. The number of student t
    6·2 answers
  • Which is the factor of x^2 + 5x -24
    8·1 answer
  • -8(-8b-6)=-6b-22 <br> Can someone PLEASE help me I don't understand this at all!!
    6·1 answer
  • 2/3b + 5 = 20 - b whats the answer here?
    7·1 answer
  • Simplify eight to the negative fifth divided by eight to the negative third.
    11·2 answers
  • Given a set of data, what steps would you take to
    8·2 answers
  • A baseball is "popped" straight up by a batter with an initial velocity of 32 ft/sec. The height of the ball above ground is giv
    13·1 answer
  • There are two rectangular prisms. The base of the first prism is a
    15·1 answer
  • Convert the following numbers in to quinary numeration system 7521​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!