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
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Make x the subject
y = 5x + 3
Answer:
x=y-3/5
Step-by-step explanation:
y=5x+3
y-3=5x
y-3/5=x
x=y-3/5
When 8 is subtracted from the square of a number , the result is 7 times the number find the positive solution
Answer:
x=8
Step-by-step explanation:
(X^2-8)=7x
simplify -8-(12)+(-2)
Answer:
-22
Step-by-step explanation:
-8-(12)+(-2)
-8-12-2
-20-2
-22
HOPE THIS HELPS!
hii please help i’ll give brainliest if you give a correct answer!
Answer:
8
Step-by-step explanation:
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
Answer:x= 38.079
Step-by-step explanation:
What is the answer to this question? x−7≤−5
Answer:
x<=2
Step-by-step explanation:
x-7<=-5
x<=-5+7
x<=2
Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16
Answer:
2. -16
6. 23
7. -40
8. -17
9. 41
10. -58
PLEASE HELP AND EXPLAIN YOUR ANSWER!
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!
how do I solve this
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
what is 1/6x + 3/4(1/2x - 4)?
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
[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
Guys please help
which phrase has the same meaning as 12y - 2?
Answer:
subtract 2 from the product of 12 and y
Step-by-step explanation:
How many vehicles are at Nam's Gas Station?
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
please helppppp please asap
Answer:
126.8
Step-by-step explanation:
angles opposite each other when two lines cross are always equal
What equation below is a perpendicular line to the line y=-4x+8
8 + 3n ≥ 38 do yall know??? solve please
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
4 minutes 53 seconds to seconds
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
655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)
Answer:
1914
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-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: 1914Which 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.
Answer:
the correct answer is C the system of equations has no solution.
how do you find the x-intercepts if given the following polynomial in factored form?
X(x-2)^2(x+4)(x+1)
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
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)
Answer:
Are these the option or what what this suppose to be ??????
help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Find y. Simplify completely.
y = [?]
Enter the number that belongs in the green box.
Please helpppp
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
If the radius is 10 ft, what will the area of the circle be?
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]
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%
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)
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?
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
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]
2(3x-9)=2x+10 what's x
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.
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?
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
How many turning points are there in the graph of y = x^3 - 2x^2 - 2 ?
A. 1
B. 2
C. 3
D. 4
Answer:
D, i think
Step-by-step explanation: