The area of the base of a cylinder is 42 square inches and its height is 11 inches. A cone has the same area
for its base and the same height. What is the volume of the cone?

Answers

Answer 1
Mark Brainliest please

Volume of a cylinder: =∗2∗ℎ
V=π∗r2∗h


Volume of a cone: =∗2∗ℎ3
V=π∗r2∗h3


Where is the volume, ≈3.1416, r is the radius, and h is the height.

Cylinders and cones both have circle-bases, which means that the base area is the area of a circle: ∗2 , which means we will let =∗2

where B is the base area.

Which means that:

Volume of a cylinder: =∗ℎ

Volume of a cone: =∗ℎ3/3


If the cylinder and cone have the same base area and the same height, then the volume of the cone is always 1/3rd of the volume of the cylinder.

cone=cyl / 3


Given that the cylinder and cone have the same base area and the same height: If the volume of the cylinder is 43 cm3
, then the volume of the cone is exactly 1/3rd of 43 cm3, as shown below:

cyl=43 cm3


cone=43 cm3

=43/ 3 cm3
=14* 1/ 3 cm3

Thus the volume of the cone is 14* 1/3 cm3
.



Related Questions

figure B is a scaled copy of figure A. What is the scale factor from figure A to B​

Answers

The scale factor from Figure A to Figure B is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is the scale factor
Let
z-----> the scale factor
In this problem

substitute values

the scale factor is less than 1
therefore
is a reduction

Is (x - 2) a factor of y = x3 + 2x2 - 9x - 18 ?
A: Yes
B: No
C: Cannot be determined

Answers

B because when factoring you should have more factors especially because there is a cubed

Kelly is going two work two part-time jobs during the school year. When she works for her dad, she will make $8.00 per hour. When she works at a day care center, she will make $14.00 per hour. To pay her car payment, Kelly needs to make at least $84.00 a week and can work no more than 10 hours total per week. Write an inequality to represent the difference combinations of hours working for her dad,X, and hours working for the daycare center,Y, Kelly can work if she wants to earn at least $84 per week

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.

Since she wants to make $84 per week, hence:

8x + 14y ≥ 84     (1)

Also, she can work a maximum of 10 hours per week, hence:

x + y ≤ 10           (2)

Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:

A(0, 6), B(0, 10) and C(9.3, 0.7)

x- (-3) is the same as x + (-3).
O True
O False

Answers

Answer:

false

Step-by-step explanation:

because x - (-3)

= x+3

and x + - 3

= x - 3

so they are not the same

hope this helps

Answer:

False

Step-by-step explanation:

If u minus you go the opposite direction

And you have negative 3

So you do the opposite direction of -3 which is +3

So x+3

pleaseee helppp meeee!!!!

Answers

5x - 10 = 25 so first you have to add ten to both sides
5x-10=25
+10 +10
5x = 35
Then you divide both sides by 5
/5 /5
X = 7
And that’s how you get it!!

Please help asap!! I will mark you as brainliest :)

Answers

Answer:

3, 0, -5, -6

Step-by-step explanation:

7)

when x= -8, f(x) = 8-5 or 3

when x= -5 f(x) = 5-5 or 0

when x= 0, f(x) = 0-5 or -5

when x=1, f(x) = -1-5 or -6

An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.

Answers

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²

A ball was kicked off a picnic table at the park and its height, h, in metres, above the ground after time, t, in seconds, is represented by h = 0.5 + 16t- 2t^2.

a) What is the height of the picnic table?

b) Complete the square to determine the maximum height of the ball? ​

Answers

Step-by-step explanation:

the picnic table height is 0.5 because it's the constant

and the maximum height is 28

my answer is in the image above

how many different passwords are possible

Answers

Answer:

I think 2600 passwords are possible

Solve the equation for x.

Answers

Answer:

x = 7

Step-by-step explanation:

2x + 34 = 4x + 20

2x = 14

x = 7

can someone pls help for brainlest

Answers

Answer:

The answer to the question is B,2:55

Answer:

2:55 B

Step-by-step explanation:

Each number 1 2 3 etc are counting by 5's. 11, five times is 55. It cannot be D because the shorter needle determines the hour and the longer one is on 11. It can't be A because counting by 5 starts with 1 not 12 it rotates clockwise not anti-clockwise. It can't be C because for it to be 50, it would need to be on the 10 not on 11.

What is the measure of <JHM

25
45
50
90​

Answers

45 of course because it measured higher then others and it’s the systems of odd numbers

may anyone help me please and thank you so much !

Answers

Answer:

16 m

Step-by-step explanation:

The situation can be solved by proportion of corresponding sides in 2 right triangles.

let x be the length of shadow cast by oak tree, then

[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

9x = 144 ( divide both sides by 9 )

x = 16

Length of shadow is 16 m

Describe how you would factor x^2 + 10x - 24. Be specific.

Answers

Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

Ifx = 2 and y=6, evaluate the following expression:
3(3y - 4x)

Answers

Your answer would be 30

which of the following are solutions to the quadratic equation? x^2+3x-10=0

Answers

Answer:

-5 and 2

Step-by-step explanation:

That is where it intersects on the x-axis, so therefore it is the solution.

can someone please help me i need to calculate the are of a trapezium which is 6cm 15cm 9cm, please help

Answers

Answer:

Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.

Answer:

shush its hard like my

Step-by-step explanation:

Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 ​ x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)

Answers

Answer:

(12,7) is not a solution

Step-by-step explanation:

Given

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Required

Point that is not a solution

We have:

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality

[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]

Collect like terms

[tex]\frac{2}{3}x - x \ge 5-6[/tex]

[tex]-\frac{1}{3}x \ge -1[/tex]

Solve for x (the inequality will change because we are to divide by a  negative number_

[tex]x \le -1/-\frac{1}{3}[/tex]

[tex]x \le 3[/tex]

Without solving further, we can conclude that the first option is not a solution.

Because (12,7) implies that [tex]x =12[/tex]

Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false

pls help its my last day of school and a have only a few mins to submit

Answers

Answer:

slope = 1/2

y intercept = 2

slope intercept form = y = 1/2x + 2

Step-by-step explanation:

Answer:

Slope: 2

y-intercept: 2

Slope intercept form: y=2x+2

Step-by-step explanation:

Hope this helps!

7th grade math help me pleaseeee

Answers

Answer:

Step-by-step explanation:

the first one is a negative correlation

check the above for first

can someone assist me with this, has me mad
drop menu 1:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up​

Answers

Answer:

A. y-axis

B. x-axis

C. line y=x

D. line y=-x

drop menu 2:

A. 4 units to the right and 10 units up

B. 8 units to the right and 4 units up

C. 10 units to the right and 2 units up

D. 10 units to the right and 4 units up​

Answer:

C, and D

Step-by-step explanation:

First you reflect over the line y=x (line goes diagonal from quadrant I to quadrant III)

The rule of reflecting over the y=x line is that point (x,y) becomes point (y,x)

For example, point C ( -4, 2), becomes C' ( 2, -4)

Second is a translation 10 units to the right and 4 units up from C'(2,-4) to C''(0, 12)

Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.

Answers

Step-by-step explanation:

C. The system of equations is unsolvabl

either a or b since its cancelling out

A box of cereal has the following measurements: length = 16.5 cm; width = 4 cm; height = 30.25 cm. What is the volume of the cereal box?
Pls help me I’m failing math with a 55

Answers

Answer:

[tex]1996.5[/tex]

Step-by-step explanation:

[tex]16.5 X 4 X 30.25[/tex]

Hope this helped, please give brainliest

Thank you!

Answer:

To calculate the volume of a object, all you need to do is multiply the length, width and height.  In this equation, that would be 1996.5cm or 786.02362204 inches

Step-by-step explanation:

Hope this helped, please give brainlist

Thank you

The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?

Answers

Answer: The answer is 8

Step-by-step explanation:

It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1

2

+

4 1

2

=

17

Calculation steps:

12 1

2

+

4 1

2

=  (12 + 4) + (

1

2

+

1

2

)

=  16 +

1 + 1

2

=  16 +

2

2

=  16 +

2 ÷ 2

2 ÷ 2

=  16 +

1

1

= 8 hope this helps

Answer:

Answer is 8

Step-by-step explanation:

I know because I got the answer right!

I really need the answer now pls help me asap!!

Answers

Answer:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

Step-by-step explanation:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

In a (Gallup poll, 26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30, which is classified as obese. The 5000 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 98% confidence interval for the proportion of the population who arc obese? A. The proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805. B. We are 98% confident the proportion of adults polled who are obese is between 0.2515 and 0.2805. C. In 98% of all samples, the proportion of adults polled who are obese will be between 0.2515 and 0.2805. D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.

Answers

Answer:

D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30

This means that [tex]\pi = 0.266, n = 5000[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515[/tex]

The upper limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805[/tex]

The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.

There is a 30% chance of snow on each of the next three days. What is the probability of getting snow on one of these days?

Answers

Answer:

30%

Step-by-step explanation:

30%, there is a 30 percent chance of snowing on one of these days

Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. a) Write an equation that can be used to find B, her account balance after t years. b) Find the amount in her bank account after 6 years to the nearest cent

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

What is the obesity threshold weight for a young adult American male?

Answers

Answer:

If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.

Step-by-ste

Answer:

218.7 lbs is your answer

Can anyone solve this question for me urgent! With work please. Thank you!

Answers

Answer:

P = 75*

Step-by-step explanation:

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