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svetlana [45]
2 years ago
12

Dennis has three identical ​cylinders​ filled with water. How many ​cones should he be able to fill with the water if the cones

have the same radius and the same height as the cylinders?
Mathematics
2 answers:
docker41 [41]2 years ago
5 0

Answer:

9 cones

Step-by-step explanation:

The formula to find a volume of a cylinder is:

V1 = pi*r^2*h

Where r is the base radius and h is the height

The formula to find a volume of a cone is:

V2 = (1/3)*pi*r^2*h

So, if they have the same base radius and same height, we have that:

V1/V2 = 1/(1/3) = 3

The volume of the cylinder is 3 times bigger than the volume of the cone, so each cylinder of water can fill 3 cones.

Is Dennis has 3 cylinders, he is able to fill 3*3 = 9 cones with water.

Brut [27]2 years ago
3 0

Answer:

3 cylinder will fill 9 cones with water

Step-by-step explanation:

This problem bothers on mensuration of slides, cone and cylinder

We know that the

Volume of a cylinder = πr²h

Volume of a cone = 1/3(πr²h)

Given that both cylinder and cone has same height and radius

From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume

So if 1 cylinder will fill 3 cones

Then 3 cylinders will fill x cones

By cross multiplication we have

x= 3*3cones

x= 9 cones

Hence 3 cylinder will fill 9 cones with water

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defon

Answer:

(x+5) (x-3)

Step-by-step explanation:

5 times -3= -15

5 + -3 = 2

8 0
3 years ago
HELP! Simon invests in a medical company. He buys the stock at $189.35 and sells it for $167.78. What is the percent of decrease
myrzilka [38]
167.78 / 189.35 = .88608 * 100 = 88.6083971481 round it you get 89
3 0
3 years ago
A parasail is at 200.6 feet above the water. After 5 minutes, the parasail is at 120.8 feet above the water. What is the change
kow [346]

Answer:

   Change in height of the parasail after 5 minutes = 79.8 feet.

Explanation:

  Change in height = Absolute value of the differences of the initial height and final height.

  Initial height of parasail = 200.6 feet.

  Final height parasail  = 120.8 feet.

  Change in height of the parasail = 200.6 - 120.8 = 79.8 feet.

   Change in height of the parasail after 5 minutes = 79.8 feet.

5 0
3 years ago
Somebody please help me on brainly :( and the links y’all keeping sending are not working so please just help me on brainly
dsp73

Answer:

  9 in

Step-by-step explanation:

For an n-sided polygon, the length of the apothem is ...

 a = r·cos(180°/n)

We assume your problem statement is saying the radius is 10 inches. For a hexagon, n=6 and we have ...

 a = (10 in)cos(30°) ≈ 8.66 in

Rounded to the nearest inch, the apothem is 9 in.

4 0
2 years ago
Assume the random variable X is normally distributed with mean 53 and standard deviation of 6. Find the 9th percentile
satela [25.4K]

Answer:

<em>The 9th percentile of X is 44.96</em>

Step-by-step explanation:

<u>Percentiles for a Normal Distribution</u>

The standard normal distribution can be used for computing percentiles. For example, the median is the 50th percentile being the center value, the first quartile is the 25th percentile, and so on.

To compute percentiles of a normal distribution we can use the formula

X=\mu+z\sigma

Where \mu is the mean, \sigma is the standard deviation of the variable X, and z is the z-score value from the standard tables

The value of X can also be directly obtained from digital tables included in math packages and tools like Excel.

The Excel NORM.INV Function calculates the inverse of the cumulative Normal Distribution Function for a given value of p, \mu and \sigma.

We'll use the values

p=9\%=0.09,\ \mu=53, \ \sigma=6

NORM.INV(0.09,53,6) results in 44.96 which means the 9th percentile of X is 44.96

We could have used the standard normal distribution, which only needs the value of p

NORM.S.INV( 0.09 )=-1.34

That is the value of z, we now apply the formula

X=\mu+z\sigma

X=53+(-1.34)\cdot 6=44.96

We get the very same result as before

6 0
3 years ago
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