A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height

Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?

Answers

Answer 1

Answer:

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

[tex]V_{cylinder}=\pi r^2 h[/tex]

[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]

[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]

[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]

[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]

[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]

Cone's volume is one third of the cylinder's volume.


Related Questions

Caroline surveyed 380 of the students in her school about their favorite color. 209 students said their favorite color was blue. What percentage of the surveyed students said their favorite color was blue?

Answers

Answer:

55% of the students surveyed said their favorite color was blue

Step-by-step explanation:

[tex]\frac{209}{380}[/tex] as a percent = 55%, or 0.55 in decimal form.

dounuts or snacks or chips

Answers

Answer:

snacks, the reason being that it can be anything

Step-by-step explanation:

Answer:

Donuts

Step-by-step explanation:

The donuts are specifically tastier than the options mentioned

Help I Dont understand

Answers

Answer:

Q4 part d

Q5 part c

Step-by-step explanation:

Solve for x.
4x - 36
3x + 10

Answers

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

The value of x is 46.

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10

First, let's move the term with 3x to the left side by subtracting 3x from both sides:

4x - 3x - 36 = 3x - 3x + 10

Simplifying further:

x - 36 = 10

Next, let's move the constant term -36 to the right side by adding 36 to both sides:

x - 36 + 36 = 10 + 36

Simplifying further:

x = 46

Therefore, the value of x is 46.

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help model -5+(-6) on the number line

Answers

Answer:

-5 -6 = -11

You start at -5 and move to the left by 6 spaces until you get to -11 :)

Hope this helps!

Have a good day!

Please rate and mark brainliest!!

Which loan or loans listed below are awarded based on the financial need of the student?

I. Perkins loan
II. subsidized Stafford loan
III. unsubsidized Stafford loan
a.
I only
b.
I and II
c.
II and III
d.
I, II, and III

Answers

Answer:

B.

I and II

Step-by-step explanation:

The loan or loans listed below are awarded based on the financial need of the student are the Perkins loan and subsidized Stafford loan. Option B. This is further explained below.

What is loan?

Generally, a loan is simply defined as a borrowed object, especially a quantity of money that is anticipated to be repaid with interest.

In conclusion, The Perkins loan and subsidized Stafford loan are two loans that are provided depending on the student's financial need.

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If the same number is subtracted from both the numerator and the denominator of 13/17 , the result is 3/5 . Find the number.

Answers

Answer:

10/12?

Step-by-step explanation:

Flying agaist the wind, an airplane travels 6300 kilometers in7 hours. Flying with the wind, the same plane travels 8400 in 6 hours. What is the rate of the plane is still air and what is the rate of the wind?

Answers

Answer:

plane: 1150 kphwind: 250 kph

Step-by-step explanation:

The given relationships allow us to write a system of equations in the speeds of the wind and plane.

Let w and p represent the speeds of the wind and the plane, respectively. We know speed is the ratio of distance to time, so ...

  p -w = 6300 km/(7 h) = 900 km/h

  p +w = 8400 km/(6 h) = 1400 km/h

__

Adding these two equations gives ...

  2p = 2300 km/h

  p = 1150 km/h . . . . . . divide by 2

Subtracting the first equation from the second gives ...

  2w = 500 km/h

  w = 250 km/h

The speed of the plane in still air is 1150 km per hour; the speed of the wind is 250 km per hour.

Please help. Systems of equations. Solve using elimination.
12X + 16y = 96
12X + 48y = 192

Answers

Answer:

x=4

y=3

Step-by-step explanation:

12X + 16y = 96--(1)

12X + 48y = 192---(2)

(2)-(1),

12x + 48y - (12x+ 16y)= 192- 96

12x + 48y - 12x - 16y = 96

32y = 96

y= 96÷32

y =3

substituting y=3 in (1),

12x +(16×3) = 96

12x + 48 = 96

12x = 96-48

12x = 48

x= 48÷12

x= 4

Hope this helps!

PLEASE ANSWER ASAP!!!!

Rewrite each of the following expressions without using absolute value

-|-3|

Answers

Answer:

-3

Step-by-step explanation:

[tex]\downdownarrows\\ -\left|-3\right|[/tex]

Calculate the absolute value

[tex]-3[/tex]

I hope this helps you

:)

Maura added 5/8 of a cup of walnuts to a batch of trail mix. Later, she added 3/4 of a cup of almonds. How many cups of nuts did Maura put in the trail mix in all? Write your answer as a fraction or as a whole or mixed number. cups

Answers

Answer:

1 3/8 cups

Step-by-step explanation:

the equation is 5/8 + 3/4

to figure it out we need the same denominator, we'll be choosing 8

3 (x2)/ 4 (x2) = 6/8

you would have to multiply 2 both on the top and bottem

then you would have to add

5/8 + 6/8 = 11/8

then make that into a whole fraction

11/8 = 1 3/8

what is the absolute value of 1

Answers

So the absolute value of any number is that number in positive form so 1

Answer:

1

Step-by-step explanation:

Since absolute value is the distance between zero, and the particular value, it is always positive! In this case, the distance between one and zero is exactly one!

C, G, and D are collinear. E, G, and F are also collinear. The two lines
intersect at point G. Line EF bisects line CD. Find EG: if CG=5x-1, GD=7x-
13, EF=6x-4, and GF=13.

Answers

Answer:

EG is 19 units

Step-by-step explanation:

Let us solve the question

∵ Lines CD and EF intersected at point G

CD = CG + GD

EF = EG + GF

∵ Line EF bisects line CD

→ That means G is the midpoint of CD

CG = GD

∵ CG = 5x -1

∵ GD = 7x - 13

→ Equate them to find x

7x - 13 = 5x -1

→ Add 13 to both sides

∴ 7x -13 + 13 = 5x - 1 + 13

∴ 7x = 5x + 12

→ Subtract 5x from both sides

∴ 7x - 5x = 5x - 5x + 12

∴ 2x = 12

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]

x = 6

∵ EF = 6x - 4

→ Substitute x by 6 to find its length

∴ EF = 6(6) - 4 = 36 - 4

EF = 32

∵ EF = EG + GF

∵ GF = 13

∴ 32 = EG + 13

→ Subtract 13 from both sides

∵ 32 - 13 = EG + 13 - 13

∴ 19 = EG

EG = 19 units

A machine that drills holes for wells drilled to a depth of
–72 feet in one day (24 hours).
If the machine drilled at a constant rate, what was the
depth after 15 hours?

Answers

Answer:

depth of -117 feet

Step-by-step explanation:

24 hours 72 feet, so one hour 72/24 = 3 feet

after 15 hours, another 3*15 = 45 feet, so the depth become 72 + 45 = 117 feet

Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 3 inches, what percentage of women are taller than 60 inches?

Answers

Answer:

cs.a,C|"< dl\vds

Step-by-step explanation:

jenny's MP3 player has 97 songs on it. if each song cost $1.25, how much did it cost for all the songs on her MP3 player?

Answers

Answer:

$121.25

Step-by-step explanation:

97 X 1.25 = 121.25

Exercice 2:
Exprimer chacune des propositions suivantes par une égalité faisant intervenir des longueurs.
1) Le point A est l'image du point B par l'homothétie de centre i et de rapport 0,6.
2) Le point M a pour image de point P par l'homothétie de centre R et de rapport -3.
3) Le point A est l'image du point B par l'homothétie de centre i et de rapport -5.
4) Le point M a pour image de point P par l'homothétie de centre R et de rapport 0,2.

Answers

Answer:

this question is wrong

Compute using long division: 342 ÷ 23​

Answers

Step 1:
Start by setting it up with the divisor 23 on the left side and the dividend 342 on the right side like this:

2 3 ⟌ 3 4 2

Step 2:
The divisor (23) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

0
2 3 ⟌ 3 4 2

Step 3:
Multiply the divisor by the result in the previous step (23 x 0 = 0) and write that answer below the dividend.

0
2 3 ⟌ 3 4 2
0

Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

0
2 3 ⟌ 3 4 2
- 0
3

Step 5:
Move down the 2nd digit of the dividend (4) like this:

0
2 3 ⟌ 3 4 2
- 0
3 4

Step 6:
The divisor (23) goes into the bottom number (34), 1 time(s). Therefore, put 1 on top:

0 1
2 3 ⟌ 3 4 2
- 0
3 4

Step 7:
Multiply the divisor by the result in the previous step (23 x 1 = 23) and write that answer at the bottom:

0 1
2 3 ⟌ 3 4 2
- 0
3 4
2 3

Step 8:
Subtract the result in the previous step from the number written above it. (34 - 23 = 11) and write the answer at the bottom.

0 1
2 3 ⟌ 3 4 2
- 0
3 4
- 2 3
1 1

Step 9:
Move down the last digit of the dividend (2) like this:

0 1
2 3 ⟌ 3 4 2
- 0
3 4
- 2 3
1 1 2

Step 10:
The divisor (23) goes into the bottom number (112), 4 time(s). Therefore put 4 on top:

0 1 4
2 3 ⟌ 3 4 2
- 0
3 4
- 2 3
1 1 2

Step 11:
Multiply the divisor by the result in the previous step (23 x 4 = 92) and write the answer at the bottom:

0 1 4
2 3 ⟌ 3 4 2
- 0
3 4
- 2 3
1 1 2
9 2

Step 12:
Subtract the result in the previous step from the number written above it. (112 - 92 = 20) and write the answer at the bottom.

0 1 4
2 3 ⟌ 3 4 2
- 0
3 4
- 2 3
1 1 2
- 9 2
2 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 342 divided by 23 calculated using Long Division is:

14

The quotient after division is 322 and the remainder is 20.

What is long division?

Long division is the mathematical method for dividing large numbers into smaller groups or parts.

Given that, 342 ÷ 23​,

When we will divide 342 by 23, we will get,

The quotient 322 and the remainder is 20.

Hence, the quotient after division is 322 and the remainder is 20.

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Which rule describes the function in the graph below?
10
9
8
7
(4.6)
10,6
5
4
3
(-2,2
2
1
3
4 5
B 7
8 9
-7 -6 -5 -4 -3 -2 -14
Ni-
X, XS-2
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:THE ANSWER IS B ON 55th STREET NIFTY

Step-by-step explanation:

seven subtracted from twice a number given 17, find this number.

Answers

Answer:

The number should be 12.

Step-by-step explanation:

We can form a simple equation and solve for the variable:

2x - 7 = 17

2x = 24

x = 12

Solve the inequality 4(k − 5) + 12k ≥ −4

Answers

Answer:

k ≥ 1

Step-by-step explanation:

Step 1: Write inequality

4(k - 5) + 12k ≥ -4

Step 2: Solve for k

Distribute 4: 4k - 20 + 12k ≥ -4Combine like terms: 16k - 20 ≥ -4Add 20 to both sides: 16k ≥ 16Divide 16 on both sides: k ≥ 1
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
k

1
k

1
Interval Notation:
[
1
,

)
[
1
,

)

Can someone help answer this 6th grade question?

Answers

Answer:

Club A charges $4 per car and club B charges $4 also

Step-by-step explanation:

Answer:

Yes,

Step-by-step explanation:

Club A charges $4 per car and club B charges $4 also

Whats 1 + 1 please i need help, im taking a test

Answers

Answer:

I am sure it's 2

Step-by-step explanation:

Source: Trust me bro

Answer:

The answer is 2 because 1 plus 1 is like having 2 things

What is the cf of 32 and 24?​

Answers

Answer:

8

24 divided by 8 =3

32 divided by 8 =4

Write an expression to b+b+b+b+b that is that a sum of two terms

Answers

Answer: 5b is your answer

Step-by-step explanation:

Find the sum of the average monthly rainfalls 1/8 + 1/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 2​

Answers

Answer:

37/4

Step-by-step explanation:

1/8 + 1/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 2 = 3/8 + 3/2 + 13/4 + 33/8 = 37/4

Help!
What is the answer to this question?

Answers

Answer:

Its perimeter is 23 units

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of its outline sides

The rule of the distance between two points is:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

In the given figure ABCD:

Its perimeter = AB + BC + CD + DE + EA

→ Find the length of each side using the rule above

A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1), E = (2, -4)

→ Substitute them in the rule above to find the lengths of its sides

[tex]AB=\sqrt{(-1--4)^{2}+(2--2)^{2}}=\sqrt{(-1+4)^{2}+(2+2)^{2}}\\\\=\sqrt{(3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]

AB = 5

[tex]BC=\sqrt{(2--1)^{2}+(2-2)^{2}}=\sqrt{(2+1)^{2}+(0)^{2}}\\\\=\sqrt{(3)^{2}+0}=\sqrt{9+0}=\sqrt{9}[/tex]

BC = 3

[tex]CD=\sqrt{(5-2)^{2}+(-1-2)^{2}}=\sqrt{(3)^{2}+(-3)^{2}}\\\\=\sqrt{9+9}=\sqrt{18}[/tex]

CD = [tex]\sqrt{18}[/tex]

[tex]DE=\sqrt{(2-5)^{2}+(-4--1)^{2}}=\sqrt{(-3)^{2}+(-4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(-3)^{2}}=\sqrt{9+9}=\sqrt{18}[/tex]

DE = [tex]\sqrt{18}[/tex]

[tex]EA=\sqrt{(-4-2)^{2}+(-2--4)^{2}}=\sqrt{(-6)^{2}+(-2+4)^{2}}\\\\=\sqrt{(-6)^{2}+(2)^{2}}=\sqrt{36+4}=\sqrt{40}[/tex]

EA = [tex]\sqrt{40}[/tex]

→ Add them to find the perimeter of the figure ABCDE

∴ Its perimeter = 5 + 3 + [tex]\sqrt{18}[/tex] + [tex]\sqrt{18}[/tex] +[tex]\sqrt{40}[/tex] ≅ 22.8098

→ Round it to the whole number

Its perimeter = 23 units

whats a better way to solve a polygon and what are the steps to it.

Answers

Hey there!

Calculating the exterior angles of regular polygons

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Solve the proportion:

5/X=12.5/20


A X=8

B X=9

C X=10

Answers

Answer:

A. X =8

Step-by-step explanation:

5/X=12.5/20

cross multiply

12.5X = 20*5

12.5X=100

X=100/12.5

X=8

PLS HELP ME. Been on the same question for a while now.

Answers

Answer:

1050

Step-by-step explanation:

So, we know 4/5 of a gallon can paint 280ft^2, but we don't know how much each gallon can paint, so to find x, do this

4/5x=280ft^2, next multiply both sides by 5/4 to get x by itself

x=350

Now multiply x by 3 to get your new answer.

350*3=1050

Hope this helps, feel free to leave any questions.

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