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Lemur [1.5K]
3 years ago
9

Explain how you used the bar model in exercise 2 to find the problem

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0
This question isn't relevant to this site.
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A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
Solve the system of linear equations below. Enter your solution as an ordered pair (x,y). Do not include spaces in your answer..
kotykmax [81]
Y=3
4x+y=19
4x+3=19
4x=19-3
4x=16
x=4

pair is 4,3
5 0
3 years ago
Read 2 more answers
Which Choice is equivalent to the quotient shown here when x is greater or equal to 0
m_a_m_a [10]

\sqrt{ \frac{27x}{48} }  =  \sqrt{ \frac{ {3}^{3}x}{ {2}^{4} \times 3 } }  =   \sqrt{ \frac{ {3}^{2}x }{ {2}^{4} } }  =  \frac{3 \sqrt{x} }{4}
6 0
3 years ago
Read 2 more answers
What is the slope of the line?
Vikki [24]

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

3 0
3 years ago
I realy need help with this: 2 2/3 divided by 9
baherus [9]

Answer:

8/27

Step-by-step explanation:

2 2/3 = 8/3

8/3 divided by 9 =

8/3 x 1/9 =

8/27

6 0
3 years ago
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