A cylinder has base radius x cm and height 2x cm. A cone has base radius x cm and height h cm. The volume of the cylinder and the volume of the cone are equal. Find h in terms of x. Give your answer in its simplest form.

Answers

Answer 1

The value of h in terms of x when the volume of cylinder is equal to that of cone is h = 6x²

What is volume of cylinder and cone?

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together.

The volume of cylinder = πr²h

and volume of cone = 1/3 πr²h

since the volume of the cone and cylinder are equal

πr²h = 1/3 πr²h

r in cylinder = x cm and h is 2x

r in cone = x cm

therefore πx²×2x = 1/3πxh

divide both side by πx

π2x³/πx = h/3

2x² = h/3

therefore h = 3×2x²

h = 6x²

therefore the value of h in terms of x is h = 6x²

learn more about volume of cone and cylinder from

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Related Questions


Find y. Simplify completely.

y = [?]
Enter the number that belongs in the green box.
Please helpppp

Answers

Answer:

181?

Step-by-step explanation:

I saw a thing that it was A-squared plus B-squared=C.

9 squared=81. 10 squared=100. 100+81=181.

(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.

Answer:Y=190

Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped

please helppppp please asap

Answers

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16

Answers

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

simplify -8-(12)+(-2)​

Answers

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

What is the answer to this question? x−7≤−5

Answers

Answer:

x<=2

Step-by-step explanation:

x-7<=-5

x<=-5+7

x<=2

Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15

A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.

Answers

Answer:

the correct answer is C the system of equations has no solution.

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%

Answers

Answer:

80%:20%

Step-by-step explanation:

100 divided by 5 = 20

20 x 1 = 20

20 x 4 = 80

Meaning 80%(4):20%(1)

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 4 if she rolls the two number cubes 216 ​times?

Answers

Answer:

18 times

Step-by-step explanation:

Sample space ; roll of 2 number cubes = 6^2 = 36

Sum of 4 in 2 cube rolls = 3

Probability = required outcome / Total possible outcomes

P(sum of 4) = 3 / 36 = 1 / 12

If number cube is rolled 216 times :

Probability on 1 roll * Number of rolls

(1 / 12) * 216

0.0833333 * 216

= 18

8 + 3n ≥ 38 do yall know??? solve please

Answers

Answer:

n ≥ 10

Step-by-step explanation:

Given

8 + 3n ≥ 38 ( subtract 8 from both sides )

3n ≥ 30 ( divide both sides by 3 )

n ≥ 10

What equation below is a perpendicular line to the line y=-4x+8

Answers

Y = x/4 + b

b can be any y-intercept

If the radius is 10 ft, what will the area of the circle be?

Answers

Answer:

A=πr2=π·102≈314.15927ft²

Step-by-step explanation:

Answer:

314.16

Step-by-step explanation:

The formula is [tex]\pi rx^{2}[/tex]

PLEASE HELP AND EXPLAIN YOUR ANSWER!

Answers

Answer:

24w - 16u + 48

Step-by-step explanation:

by distributive property you have to distribute the number on the outside to the number inside the parenthesis

Answer:

24w - 16u + 48

Step-by-step explanation:

Ok so,

to distribute means to multiply -8 with all of the numbers inside of the parentheses in order to get rid of it. So it should look like this.

-8 x -3w = 24w

-8 x +2u = -16u

-8 x -6 = 48

Now you just take all of the numbers and put them together which will be

24w - 16u + 48

TAADAA!!

hope this helps!!! have a good day!

What is the difference?
5X
X-2
x + 4
2x
9x2 + 2x + 8
2 x(x - 2)
7x²+8
2 x(x - 2)
9x2–2x+8
2 x(x-2)
7x²-8
2X(x-2)

Answers

Answer:

Are these the option or what what this suppose to be ??????

Make x the subject

y = 5x + 3

Answers

Answer:

x=y-3/5

Step-by-step explanation:

y=5x+3

y-3=5x

y-3/5=x

x=y-3/5

How many turning points are there in the graph of y = x^3 - 2x^2 - 2 ?

A. 1

B. 2

C. 3

D. 4

Answers

Answer:

D, i think

Step-by-step explanation:

hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8

Step-by-step explanation:

help i have this question and i’m not sure what the answer would be

Answers

Answer:

2 10 or 100 2

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

how do you find the x-intercepts if given the following polynomial in factored form?

X(x-2)^2(x+4)(x+1)​

Answers

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts

When 8 is subtracted from the square of a number , the result is 7 times the number find the positive solution

Answers

Answer:

x=8

Step-by-step explanation:

(X^2-8)=7x

what is 1/6x + 3/4(1/2x - 4)?​

Answers

Answer:

13x/24-3

Step-by-step explanation:

Answer:

hello! :) have a good day!

[tex]\frac{13x}{24\\} -3[/tex]

I NEED HELP ASAP, AND PLZ DONT SPAM

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the indices,

After applying the log rules we get the equation as,

===> 3-x = 1/2

===> x = 5/2

In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help

Answers

Answer:x= 38.079

Step-by-step explanation:

38.079
i got it right

How many vehicles are at Nam's Gas Station?

Answers

Answer:

23

Step-by-step explanation:

The number of car are in the y-intercept line so just add each one of the for every different bar.

3 + 4 + 5 + 6 + 3 + 2 = 23

So there are 23 vehicles in total.

The number of vehicles are at Nam's Gas Station is 23

Calculation of the number of vehicles:

Since The number of cars are in the y-intercept line

So here the no of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Here we added according to the given graph

Therefore, we can conclude that The number of vehicles are at Nam's Gas Station is 23

Learn more about the graph here: https://brainly.com/question/10587623

655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)

Answers

Answer:

1914

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)

Step 2: Evaluate

(Parenthesis) Multiply:                                                                                    655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply:                                                                                     655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply:                                                                                    655 + 1071 + 272.6 - 84.6Add:                                                                                                                 1726 + 272.6 - 84.6Add:                                                                                                                 1998.6 - 84.6Subtract:                                                                                                          1914

2(3x-9)=2x+10 what's x

Answers

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.

A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?

Answers

The answer is 42 because you have to add up all of the colors together then add how many red and green you have then we multiple 60 times 14/20 and we get 840/20 so then we divide 840 by 20 and we get 42 so our answer is 42 if you haven’t got it already i don’t see any dates for these

Guys please help

which phrase has the same meaning as 12y - 2?

Answers

Answer:

subtract 2 from the product of 12 and y

Step-by-step explanation:

4 minutes 53 seconds to seconds

Answers

Answer: 293 Seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

one minute = 60 seconds

4 x 60 = 240 seconds   -------> use the equation above to multiply per min

240 + 53 = 293 seconds  -------> add the remaining seconds to find total

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