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Alecsey [184]
3 years ago
9

cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a c

ylinder with height 9 inches and radius 2r r fill?
Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

height:

h = 9 in

radius:

r = r

The volume of a cylinder is given by:

V=\pi r^2 h

Therefore, the volume of the 1st cylinder is

V=\pi r^2 9=9\pi r^2

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

and radius

r' = 2r

So the volume of this cylinder is

V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2

This means that the number of pitchers that can be filled by this 2nd cylinder is

n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4

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A bag contains 7 red, 4 blue, and 6 white marbles.
Leno4ka [110]

Answer:

28/289

Step-by-step explanation:

7 red, 4 blue, and 6 white  = 17 marbles

P ( red ) = number of red / total

             = 7/17

Replace the marble

7 red, 4 blue, and 6 white  = 17 marbles

P ( blue ) = number of blue / total

             = 4/17

P (red, replace, blue) = 7/17* 4/17

                                    =28/289

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2 years ago
The mean length of 5 childrens' index finger is 5.6cm.
rjkz [21]

The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>

The given parameters are:

<u>Children</u>

Mean = 5.6 cm

Frequency = 5

<u>Adult</u>

Mean = 6.2 cm

Frequency = 3

The mean length of these 8 people's index finger is calculated as:

\bar x = \frac{\sum fx}{\sum f}

So, we have

Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)

Evaluate

Mean = 5.83

Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83

Read more about mean at

brainly.com/question/20118982

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36000•0,15=5400
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Step-by-step explanation:

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