What is the volume (in cubic units) of a cylinder with a radius of
1 answer:
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Answer:
B
Step-by-step explanation:
<em>Let be the radius of one sphere.</em>
- Volume of sphere is
Since radius is r, the height of the cylinder will be
Also, the cylinder has the same radius as the sphere:
- Volume of Cylinder is
Plugging in the values we get:
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
Answer:
34.4
Step-by-step explanation:
Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.
=
=
Cross multiply
14(27) = 11(PQ)
378 = 11(PQ)
= PQ
PQ = 34.4
<h3>Answer: 491,891,400</h3>
Delete the commas if necessary.
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Explanation:
There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.
Plug n = 6 and r = 2 into the nCr combination formula below
This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.
Repeat those steps for the other grade levels.
n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.
You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.
Similarly, 8C4 = 70 is the number of ways to pick the juniors.
Lastly, 14C3 = 364 is the number of ways to pick the seniors.
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To recap, we have...
- 15 ways to pick the freshmen
- 1287 ways to pick the sophomores
- 70 ways to pick the juniors
- 364 ways to pick the seniors
Multiply out those values to get to the final answer.
15*1287*70*364 = 491,891,400
This massive number is a little under 492 million.