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kirill115 [55]
3 years ago
6

Consider the cylinder with a volume of 132π cm3. What is the volume of a cone with the same radius and height as the cylinder?

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

The volume of a cone is 44π cm³.

Step-by-step explanation:

It is given that the volume of the cylinder is 132π cm³.

The volume of cylinder is

V_1=\pi r^2h

The volume of cone is

V_2=\frac{1}{3}\pi r^2h

V_2=\frac{1}{3}V_1

Where, h is height and r is radius.

It means if the radius and height of cone and cylinder are same, then the volume of cone is one third of volume of cylinder.

The volume fo cylinder is 132π cm³. So, the volume of cone is

V=\frac{1}{3}\times 132

V=44

Therefore the volume of a cone is 44π cm³.

Nezavi [6.7K]3 years ago
6 0

the answer is 44.1 i think

hope this helps

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triangle qrs has the angle measures shown. m∠q = (1x)° m∠r = (3x)° m∠s = (6x)° the measure of the obtuse angle equals
skelet666 [1.2K]
The sum of all interior angles in a triangle is 180°.

m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18

m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°

m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
7 0
3 years ago
Read 2 more answers
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Serggg [28]

Answer:

$798.75

Hope this helped!

6 0
3 years ago
90 points!!
Svetllana [295]

Answer:

1) 2w + 2(3w) \leq 112

2) 850w > 300w + 7500

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

P = 2w + 2l

The problem states that the length of a rectangle is three times its width. So l = 3w and:

P = 2w + 2(3w)

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2w + 2(3w) \leq 112

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

E = 850*w, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

C = 300*w + 7500, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

E > C

850w > 300w + 7500

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

x = 8 + 2y.

The sum of their ages is less than 32, so:

x + y < 32

8 + 2y + y < 32

3y < 24

y < \frac{24}{3}

y < 8

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

x + y = 185

They are consecutive so:

x = y + 1

Replacing in the sum equation:

y + 1 + y = 185

2y = 184

y = \frac{184}{2}

y = 92

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

225 = \frac{192 + 214 + 250 + x}{4}

656 + x = 900

x = 900 - 656

x = 244

Don needs to earn at least 244 points in the fourth game.

8 0
3 years ago
If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?
nataly862011 [7]

Answer:

3 sips equal a gulp

Step-by-step explanation:

we have

5sips+4gulps=1glass ----> equation A

13sips+7gulps=2glass

Divide by 2 both sides

6.5sips+3.5gulps=1glass ----> equation B

equate equation A and equation B

5sips+4gulps=6.5sips+3.5gulps

Group terms that contain the same variable

4gulps-3.5gulps=6.5sips-5sips

0.5gulps=1.5sips

gulps=(1.5/0.5)sips

gulps=3sips

therefore

3 sips equal a gulp

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3 years ago
The marijority of the population in the United states _________.
Nadusha1986 [10]
It should be C english :)
6 0
3 years ago
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