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Bas_tet [7]
4 years ago
10

A cone has a Volume of 108pi and a base diameter of 12. What is the height of the cone?

Mathematics
2 answers:
Ivahew [28]4 years ago
4 0

Answer:

The cone's height is 9

Step-by-step explanation:

Recall that the volume of a cone is: \frac{h}{3} \pi \,r^2, where 'h' is the cone's height, and "r" the radius of its base.

In our case, we know that the volume of the cone equals; 108\,\pi.

We also know the diameter of the base (12), so the radius of the base must be half of this: 6

Now we replace all known values in the formula for the volume, and solve for the unknown "h':

V=\frac{h}{3} \pi \,r^2\\108\,\pi =\frac{h}{3} \pi \,(6)^2\\108\,\pi =\frac{h}{3} \pi \,(36)\\108\,\pi =h (12) \pi \,\\h=\frac{108\,\pi }{12\,\pi } \\h=9

allochka39001 [22]4 years ago
4 0

Answer:

Step-by-step explanation:

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4 years ago
You bet $50 on 00 in a game of roulette. If the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. A stan
sesenic [268]

Answer:

-$2.63

Step-by-step explanation:

Calculation for the expected profit for one spin of the roulette wheel with this bet

Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.

Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.

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Let plug in the formula

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3 0
4 years ago
Need help ASAP I tried to do the problem but I don't know how
inysia [295]

Answer:

  see below

Step-by-step explanation:

(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.

__

(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)

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<em>About how</em>

As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.

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3 years ago
PA = 12 cm; LY = 6 cm​
ikadub [295]

Answer:

36 cm^2.

Step-by-step explanation:

The area  is half the product of the lengths of its diagonals.

(PA)(LY) = (12cm)(6cm)

= 72 cm

72cm ÷2= 36 cm^2

Therefore the area is 36 cm^2

7 0
3 years ago
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