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Liono4ka [1.6K]
3 years ago
12

A sphere is placed in a cylinder such that the sphere touches (is tangent to) the top, bottom, and sides of the cylinder. The vo

lume of the sphere is 972π cubic units. Find the volume of the cylinder.
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

Volume of the cylinder = 729π

Step-by-step explanation:

Volume of the sphere = 4/3πR^3 = 972π

The radius of the sphere is evaluated.

R = 9 unit

H = 9

Hence volume of the cylinder = πR^2H = π x 9 x 9 x 9 = 729π

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One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde
Cerrena [4.2K]

Answer:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

0.25 X + 0.05 Y = 20*0.08  (1)

And for the water we have:

0.75 X + 0.95Y = 20*0.92  (2)

If we solve for X from equation (1) we got:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0
3 years ago
What is the circumference of the circle? (use 3.14 for pi)
Deffense [45]
Your answer is 119.32 m
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3 years ago
Help me please if you can
makvit [3.9K]

Answer:

-2

Step-by-step explanation:

Add them up: -14

Divide by how many there are: -14 / 7 = -2

4 0
3 years ago
12.8<br> х<br> 5.3<br> find the value of x
Eddi Din [679]

Answer:

67.84 is the answer.

Step-by-step explanation:

12.8 times 5.3 equals 67.84

#teamtrees #WAP (Water And Plant)

8 0
3 years ago
A school has a hurdle track that is of one fifth of a mile long. They are considering extending the track to be one fourth of a
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Answer:


Step-by-step explanation:

24


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