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aliya0001 [1]
4 years ago
14

Find the volume of the sphere.

Mathematics
2 answers:
Ksju [112]4 years ago
4 0

Answer:

\frac{1}{48} \pi units cubed

Step-by-step explanation:

The volume of a sphere is: \frac{4}{3}\pi  r^{3}

We know the radius r = 1/4, so we just plug this into the equation:

(4/3)*\pi*(1/4)^3 = (4/3)*\pi*(1/64) = \frac{1}{48} \pi

So, the answer is  \frac{1}{48} \pi units cubed.

Dimas [21]4 years ago
4 0

Answer:

Step-by-step explanation:

volume=\frac{4}{3} \pi r^3\\=\frac{4}{3}\pi (\frac{1}{4} )^3\\=\frac{\pi }{48} ~units^3

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It would be the second choice

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Triangle QRS is similar to triangle TUV.
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To control the traffic during Ramadan month, a Police Sergeant is assigned to control the traffic
m_a_m_a [10]

To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:

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<h3>How to calculate the probability of intersection change? </h3>

To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:

  • Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.

To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).

  • 1 ÷ 4 = 0.25

According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:

  • 1 ÷ 3 = 0.33
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Learn more about probabilities in: brainly.com/question/8069952

3 0
3 years ago
Travis is in a hot air balloon that has just taken off and is now floating 12 meters above its launching point. Shontal is stand
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Shontal is at a distance of 13 meters from the launching point

Step-by-step explanation:

Step 1 :

Given,

Distance of Travis from the launching point  = 12 meters

Distance of Shontal from the launching point = 9 meters

Step 2 :

Let A represent the launching point

B represent the point above the launching point at which the balloon is floating.

C represent the point where Shontal stands on the ground.

The angle made by AB with BC is 90 degrees because the balloon is directly above the launching point

Step 3:

So we have a right angle triangle here, with

AB = 12

BC = 9 and angle ABC = 90 degrees

We need to find out length of  AC

Using the theorem of Pythagoras,

AC² = AB² + BC²

AC² = 12² + 9² = 144 + 25 = 169 = 13

Step 4 :

Answer :

Shontal stands at a distance of 13 meters from the launching point

4 0
3 years ago
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