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-Dominant- [34]
3 years ago
13

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as the cylinder.

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

The formula of a volume of a cylinder:

V_{cylinder}=\pi r^2H

The formula of a volume of a cone:

V_{cone}=\dfrac{1}{3}\pi r^2H

If a cone and a cylinder have the same radius and the same height, then a volume of a cylinder is three times greater than a volume of a cone.

V_{cylinder}=3V_{cone}\\\\V_{cone}=\dfrac{1}{3}V_{cylinder}

V_{cylinder}=360\ cm^3

V_{cone}=\dfrac{1}{3}\cdot360\ cm^3=120\ cm^3

<h3>Answer: The volume of a cone is equal 120 cm³.</h3>
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krek1111 [17]

the bag of rice weighs 4.5 pounds


Multiply 4.5 with 16 oz (as 1 lb = 16 oz)


4.5 x 16 = 72.


The bag of rice has 72 oz of rice inside.


The recipe only needs 60 oz of rice ∴ True, you will have enough, with 12 oz left over.



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8 0
3 years ago
Find the 2nd term in the sequence. Will give Brainliest.
Olin [163]

Answer:

17

Step-by-step explanation:

b(1) = 16

b(2) = b(2-1) +1

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3 years ago
Consider a deck with 2626 black and 2626 red cards. You draw one card at a time and you can choose either guess on whether it is
gregori [183]

The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

  • The revealed card is red with probability \frac{r}{r+b}, and in that case, the player gets a score of +1, and the new value is V(r-1,b)
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Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

  • If 24≤b≤26, play while r≥b−5.
  • If 17≤b≤23, play while r≥b−4.
  • If 11≤b≤16, play while r≥b−3.
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  • If 1≤b≤2, play while r≥b.
  • If b=0, play while r>0.  

So, The maximum earning is v(r,b)

Learn more about PROBABILITY here

brainly.com/question/24756209

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vodomira [7]
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Answer:

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Step-by-step explanation:

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