Find the volume of a cone with a diameter of 12 m and a height of 6 m.

Mathematics

1 answer:

castortr0y [4]2 years ago

3 0

Answer: D. 72 m

Step-by-step explanation:

The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.

Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.

But be careful, we're not done yet... We still have to divide by 3

216 / 3 = 72

we can be sure this answer is correct because the other answers are clearly too big

here's your answer, hope this helps :)

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Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.

olasank [31]

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9). For a geometric aeatory variable:

P (X> = 10) = 1 - P (X <10) = 0.00002

P (X> = 9) = 1 - P (X <9) = 0.00005

Thus, P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9) = 0.00002 / 0.00005 = 0.4.

6 0

3 years ago

the leaning tower of pisa in italy makes an angle of 86 degrees with the ground. a person standing on the ground approximately 8

Art [367]

See the picture to better understand the problem

we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft

the answer is
181.14 ft