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Anika [276]
3 years ago
12

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:
LuckyWell [14K]3 years ago
6 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

Therefore, the diameter is 6 inches (THE THIRD OPTION)
Anestetic [448]3 years ago
4 0

Answer:

6 inches

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

You might be interested in
The opening of the drinking straw was about 6 ? wide.​
dimulka [17.4K]

Possible Answer:

Millimeter.

Step-by-step explanation:

Judging by the item in the question, a straw, millimeter is probably the correct measurement of the width of it.

8 0
3 years ago
What is 2,001÷83 pls help i need to check my answer
Nina [5.8K]

Answer:

24.11

Step-by-step explanation:

2001 ÷ 83

83×2= 166

200-166=34 bring down the 1

341 ÷ 83

83×4= 332

341-332=9 add a decimal and bring down a 0

90÷83

90-83=7 bring down another 0

70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number

700÷83

83×8=664

700-664=36

right now you have 24.108

round to the nearest tenth

24.11

7 0
3 years ago
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
Ugo [173]
To answer this item, we take the differential of the equation and equate to zero.
 
                  C(x) = 0.8x² - 256x + 25939

Differentiation,
                dC(x) = 1.6x - 256 
                 dC(x) = 1.6x - 256 = 0

The value of x from the derived equation above is 160. 

Thus, the number of machine to be made in order to minimize the cost should be 160. 
4 0
3 years ago
Read 2 more answers
Janae found PointA located at ,(-2,5) and c is located at (6,1) . What would be the x coordinate of point b that bisects A and C
Alexxandr [17]

A point that bisects a segment would be its midpoint. This is a case where the vocabulary  (bisect as opposed to midpoint) makes it harder.

To find the midpoint, we use the midpoint formula. The midpoint formula is:

midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.

x: (-2 + 6)/2 = 4/2 = 2

y: (5 +1)/2 = 6/2 = 3


Thus the point B bisecting AC is at (2, 3).

8 0
3 years ago
Can sombody help me??
Maksim231197 [3]

Answer:

D. Both factors are negative, so the product will be positive.

4 0
3 years ago
Read 2 more answers
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