A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3
inches. The cone has a radius of 3 inches. What is the height of the cone?
Show your work.
Plz help
Answers
Answer: 4 in
Step-by-step explanation:
The volume of the cylinder is
[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]
If we let the height of the cone h, the volume of the cone is
[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]
Setting these volumes equal,
[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]
Related Questions
6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.
Answers
Step-by-step explanation:
St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1 What is the difference of the polynomials?
(x2 - 6x + 2) - (3x? – 7x-8)
Answers
How do you write 4.7x10^1 in standard form?
Answers
Answer:
Hello I am here to help!!
Step-by-step explanation:
The answer is 47
It's written as 47! <3
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
a
Step-by-step explanation:
triangle abc is similar to triangle fgh solve for x
Answers
Answer:
A= 24
Step-by-step explanation:
First find the scale factor. so the scale factor for these two triangles is 1.5.
21 / 14 = 1.5
18 / 12 = 1.5
So you are going to multiply 16 x 1.5
That will give you 24.
1. Calculate the value of 8. 1 × 103 − 2. 4 × 102 in standard form.
2. Blood comprises 8% of the weight of a human. Amy weighs 40kg. Find the weight of her blood.
Answers
Step-by-step explanation:
1. We need to find the value of 8.1 × 10³ − 2.4 × 10² in standard form.
We can also write its as :
8.1 × 10³ − 2.4 × 10²
81000 − 240
Standard form = 80760
2.
Amy's weight = 40 kg
Blood comprises 8% of the weight of a human.
Weight of her blood,
[tex]W=8\%\ of\ 40\\\\=\dfrac{8}{100}\times 40\\\\=3.2\ kg[/tex]
So, the weight of her blood is equal to 3.2 kg.
The temperature was 14`°F`. If the temperature dropped 5 degrees every hour for 4 hours, what is the temperature after the 4 hours? Which equation could represent this situation?
Answers
Answer:
-6F
Step-by-step explanation: It would be 5F(4hr) = 20F. So if you have 14F subtract 20F you get -6F. Hope this helped.
PLEASE HELP ASAP SHOW WORK PLEASE!!!!
Answers
Answer:
The limit is -1
Step-by-step explanation:
As shown by the equation, it shows x -> -1
which represents x approaching the limit of -1
What is the volume of this 3 dimensional figure
Answers
Answer: 2496in³
Step-by-step explanation:
To find volume, multiply the numbers by length, width, and height.
In this case, 24 is the length, 8 is the width, and 13 is the height.
24 × 8 × 13 = 2496 inches ³ (cubed).
Answer:
option C 2496
Step-by-step explanation:
you multiply 13 by 24 by 8
True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)
Answers
Answer:True
Step-by-step explanation: I did a quiz on it
Answer:
it is true am I right of this question
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answers
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
Someone pls help me I’ll mark brainliest
Answers
Answer:
option 4
Step-by-step explanation:
it can't be greater or equal to so mark off the other ones and we also don't know how many games he played so put a variable beside that 2.5 hope this helps
what type of angles are 1 and 8
Answers
Answer:
Alternate exterior angles
So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap
Answers
Answer:
3x - (15 x 3) = 90
or
3x - 45 = 90
Explanation:
There are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45
Therefore, the first part is 3x - 45
We also know that in the end we have 90 left.
So our final equation is:
3x - 45 = 90
ASAPPP
-WILL MARK BRIANIST
Answers
Answer:
A. 2:1
Step-by-step explanation:
pretty sure larger numbers go first
Answer:
D) 1:2
Step-by-step explanation:
i need help quick its due today please help show WORK and how to do it . NO links
a - 5 = -12
Answers
Answer:
a = -7
Step-by-step explanation:
a - 5 = -12
+5 +5
a = -7
Answer:
a = -7
Step-by-step explanation:
First, we have to make both sides equal. We do this by isolating the variable a. When we add 5 to -12, it becomes -7.
ANSWER ASAP I WILL MAKE BRAINLYIST
solve 2x+2y=-4, 6x-2y=12 using Elimination
NO LINKS (i need the steps not just the answer)
Answers
Answer:
2x+2y=-4
since we don't know the value of the letters, we could ignore it. then we add 2+2 which equals 4
6x-2y=12
In this case this equation is incorrect.
Step-by-step explanation:
sorry if I'm incorrect
(please if I'm correct, I really need the brainliest)
Answer:
(1,-3)
or
x=1 y= -3
Step-by-step explanation:
Looking at this we can see that there's a 2y in both of the equations (one is negative while the other is positive and so we'll add them)
so we have
(2x+2y)+(6x-2y)= -4+12
this simplifies to
8x=8
x=1
We know that x=1 and so we will plug this back into one of the two equations
2(1)+2y= -4
2+2y= -4
2y= -6
y= -3
Therefore the solution is (1,-3)
Paul has 16 baseball cards and 12 Pokémon cards. What is the ratio of baseball to Pokémon?
Answers
Answer:
16:12
Step-by-step explanation:
This is the right answer because 16 baseball cards is the most to 12 Pokemon cards as the least or smallest
Answer:
The answer is 16:12
The answer is 16:12, but if it needs to be simplified then the answer would be 4:3
PLZ SOMEONE HELP I FORGET HOW TO DO THIS AND IT'S FINALS I WILL BRAINLIST NAD GIVE A LOT OF POINTS
Answers
Answer:
Good luck!
Step-by-step explanation:
8. -3.2
X= -9+14 = 5
Y= 0-16 = -16
-16/5 = -3.2
9. 1.5
X= 13-2 = 11
Y= -1+18= 17
17/11= 1.5
120 sweets are put into three different size boxes.
The sweets are put into a small box, a medium box and a large box in the ratio 1:2:5
Work out the number of sweets in a large box.
Answers
Answer:
75 sweets
Step-by-step explanation:
Given that
There is 120 sweets that are put into three different size boxis
And, the ratio of small box to medium box to large box is 1:2:5
We need to find out the no of sweets in the large box
So,
The number of sweets in a large box is
= 120 sweets × 5 ÷ (1 + 2 + 5)
= 120 sweets × 5 ÷ 8
= 75 sweets
A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new map?
(nvm)
Answers
Answer:
The answer is "0.975"
Step-by-step explanation:
Please find the complete question in the attched file.
Find the remaining distance inside the original map
[tex]\to \frac{9}{6}=1.5 \ in[/tex]
Dividing the value by 6 because there are 7 rest stop:
[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]
Finding the diatance of the rest stop in the new map
Using proportion:
[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]
What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?
A. all real numbers
B. {-31, -29, -32}
C. {7, 1, -8}
D. {-5, 1, -8}
Answers
Answer:
Solution given:
f(x) = -3x + 1
f(-2)=-3×-2+1=7
f(0)=-3×0+1=1
f(3)=-3×-3+1=-8
So
Range is {7,1,-8) is a required answer
A jar has 28 cherry-flavored candies, 19 strawberry-flavored candies, 20-orange flavored candies, and 33 lemon-flavored candies. If a candy is taken from the jar at random, what is the probability that it will be a cherry-flavored cnady?
Answers
Answer: 7/25 or 28%
Step-by-step explanation:
28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)
so p(cherry), or the probability of getting cherry, is 28/100 (7/25)
that as a percent is 28%
What is the value of this expression when x= -4 and y= 64? -437 + 12 O A O OB. OC. OD. -48
Answers
an answer from the choices I would pick -16
You receive a $7000 gift which you want to invest for 4 years. How much money would you have in the bank account if the interest rate is 12% and is compounded continuously?
Answers
Answer:
The final balance is £11,285.58.
The total compound interest is £4,285.58
Step-by-step explanation:
hope that's right and it helps you
also please tell me If I got it right or wrong
what should be subtracted from -5/3 to get 5/6
Answers
Answer:
-3/4-x=5/6
x=-3/4-5/6
x=-3*6-5*4/6*4
x=-18-20/24
x=-38/24
x=-19/12
Step-by-step explanation:
hope it helps
stay safe love u
btw can i get brainliest
Answer:
-5/3 - x = 5/6
-x = 5/6 +5/3
-x/-1 = (5/2)/-1
therefore x = -5/2
therefore -5/2 must be subtracted
Find the area of the following rectangle. Type out al work
Answers
Step-by-step explanation:
[tex]area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} [/tex]
Answer:
[tex](8x + 14x + 6)^{2}[/tex]
Step-by-step explanation:
Area of a rectangle is length x breadth
In the given figure, the length is 2x + 2 and breadth is 4x + 3
So, the area would be:-
(2x + 2) (4x + 3)
[tex]8x^{2}[/tex] + 6x + 8x + 6
So the area would be => [tex](8x + 14x + 6)^{2}[/tex]
Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there's
a difference between their schools in the number of friends people have on social media.
They each surveyed a random sample of students from their schools, asking for the number of friends they
have on social media. Here are the results:
They want to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to students from Edison's school that have more
than 300 friends?
You may round your answer to the nearest hundredth.
Expected:
Answers
Answer:
22.33
Step-by-step explanation:
khan
Can someone plz answer these 2 questions plz? I'll give brainliest
Answers
Answer: gaming
Step-by-step explanation: gaming is a good sport
Lin says that the inequalities LaTeX: h>150h > 150 and LaTeX: h<160h < 160 describe her height in centimeters.
What do the inequalities tell us about her height?
Can you guys help me!!!!!!!
Answers
Answer:
Lin is between 150 and 160 cm
Step-by-step explanation:
The height is represented by the inequality :
h > 150 and h < 160
h > 150 - - (1)
h < 160 - - - (2)
Combining the two :
h > 150 means 150 is less than h but h is not upto 160
Thus, we have ;
150 < h < 160
This means height, h occurs between the range ; 150 cm and 160 cm