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Ulleksa [173]
3 years ago
12

Help solving question 5 please.

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

Step-by-step explanation:

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A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
3 years ago
A container has a capacity of 4 quarts. What is the capacity in pints
Firlakuza [10]

Answer: 8 pints

Step-by-step explanation:

Multiply the volume value by 2, so, 4 quarts = 8 pints

7 0
3 years ago
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Let's play a game of Russian roulette. You are tied to your chair. Here's a gun, a revolver. Here's the barrel of the gun, six c
4vir4ik [10]

Answer:

Don't spin the barrel.

Step-by-step explanation:

Each time you spin the barrel, the probability A of finding a bullet, having two bullets in six chambers is:

P(A)=\frac{2}{6}=\frac{1}{3}=0.33

For you to get shot in the second try but not the first, the barrel spin would have to stop precisely at one specific chamber: the one right before the bullets, so that probability would be:

P(B)=\frac{1}{6}=0.17

which means that this event is half as likely as finding a bullet every time the barrel is spun. Your chances are better if you pull the trigger for the second time without spinning the barrel.

4 0
3 years ago
7,095 : 62 =<br> Help me I need it
zlopas [31]

Answer:

Your answer to this would be 114.44

It was 114.435, but I round it.

4 0
3 years ago
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What is the ratio of the diameter of any circle to its radius?<br><br> What does that mean ?
spayn [35]
The diameter fits all the way across the circle, and the radius fits half way across the circle, thus making the radius half the length of the diameter so the ratio for diameter/radius would be 2/1 or 1/.5
4 0
3 years ago
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