he volume of a cylinder varies jointly with the base (area) and the height. The volume is 40inches^3 when the base (area) is 6inches^2 and the height is 20inches. Find the volume of the cylinder (after finding the variation constant) when the base (area) is 8inches^2 and the height is 12inches.

Answers

Answer 1

Answer:

Variation factor k = 1/3

New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3

Step-by-step explanation:

As we know,  

The volume of cylinder (V) is given by πr²h  

Here  πr² = base area and h is the height of the cylinder

V ∞ πr²h

V = kπr²h  

Substituting the given values, we get  

40 = 6 x 20 x k

40 = 120k and

k   = ⁴⁰/₁₂₀

    = ¹/₃.

Volume when base area = 8in² and h = 12 inch

V = 8 x 12 x ¹/₃

V = 32in³


Related Questions

What is the difference of 100 and 10

Answers

Answer:

The difference of 100 and 10 is 90.

Step-by-step explanation:

Answer:

the difference of 100 and 10=100-10=90

find the accumulated value when $1000.00 is invested for 5 years at 6% annual interest rate compounded quarterly ​

Answers

Answer:

The amount is $1346.86 and the interest is $346.86.

Step-by-step explanation:

To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]

So, P =  $1000, r = 6$, n = 4 and B = 5 years

After plugging it in you get,

                                                  A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵

                                                  A = 1000 x 1.015^20

                                                  A = 1000 x 1.346855

                                                  A = 1346.86

To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:

                                                  1346.86 = 1000 + I

                                                  I = 1346.86 - 1000

                                                  I = 346.86

Then you're finished! Hope this helped!

Brainliest would be appreciated! :)

What is the answer please help me no links I will report because it’s not ok

Answers

Answer: 150 minutes

Which of the following statements is false?
A
Credit cards let you spend unlimited money.
B.
Credit cards have minimum monthly payments.
с
Credit cards give you the chance to build good credit.
D
Credit cards let you spend money that you don't have.

Answers

Answer:

A: Credit Cards let you spend unlimited amount of money.

The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

Answers

Answer: 360ft

Explanation:
x = 18/1/20
x = 18 x 20
x = 360ft

GI and JL are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

The answer is A.

Step-by-step explanation:

A supplementary angles are angles that when adding both sides will sum up to 180 Degrees.

<JKH and <LKH will be the correct answer because they add up tp 180 degrees.

Star Me!!!

someone please help.
find the angle between the given vectors to the nearest tenth of a degree

u=<-5,-4>, v=<-4,-3>

a: -9.1
b: 1.8
c: 0.9
d: 11.8

Answers

Answer:

The answer is b: 1.8

Step-by-step explanation:

Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)

38.65980825 - 36.86989765 = approx. 1.8 (b)

:)

Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .

A u B =

Answers

Step-by-step explanation:

I am sure you are 100 percent Clear. You can follow me to get more answer.

Answer is in your next question.

Jorge is standing at a horizontal distance 25 feet away from the base of a building his eyes level is 5.5 feet above the ground looking up at the angle of elevation of 65 he notices a window washer on the side of the building

Answers

Answer:

59.11 ft

Step-by-step explanation:

Dr. Kershaw Invests $25,000. She earns 10.0% simple annual interest on her investment. How
much more interest would Dr. Kershaw earn after 2 years if her investment had earned 10.0%
annual interest compounded annually?
A $5,000
B $0
C $5,250
D $250
i

Answers

Answer:

It should be C.

Step-by-step explanation:

I hope this helps

write 770000 and round it to the nerest lakh​

Answers

Answer:

8 lakhs = 8,00,000

Step-by-step explanation:

770000

=> 7,70,000

=> 7.7 lakhs

7.7 lakh rounded to the nearest lakh = 8 lakhs and it is Rounded Up

Hope it helps :)

please help me In exponents we have to write​

Answers

Answer:

1.  -3/13

2. (simplified) 8 / (exponential form) 2^3

3. 1265625/16384

4. 5

Step-by-step explanation:

no need for explanation just try the app Photo math (no space in the photo and math)

Due at 12 pls help



....

Answers

Answer:

64,120 written as 6.412 x 10^4 in scientific notation

write an equation of the line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

Answers

Yo⁣u ca⁣n downloa⁣d th⁣e answe⁣r her⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

y = -2x + 1.5

Step-by-step explanation:

line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2

(y - -4.5) / (x - 3) = -2   ... pass (3,-4.5)

y + 4.5 = -2x +6

y = -2x + 1.5

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

Select the point that is a solution to the system of inequalities.
y< x2 + 3
y=x²-4
A. (-2,-4)
B. (0,4)
C. (1,2)
D. (4,0)

Answers

It would be C since it’s in between both inequalities and in the shaded region.

HELP LOL !!!! The hypotenuse of a right triangle measures 17 inches.
One leg of the same triangle measures 5 inches.
Determine the length of the other leg.

Answers

Answer:

a is approximately 16.25, using the pythagorean theorem.

Step-by-step explanation:

a^2+ b ^2 = c^2

Answer:

wwach leg is 15 inches

Step-by-step explanation:

I hopes this helps

A ribbon is 24 inches long. You need to cut it into pieces so that all the pieces are the same length. a. Can you cut the ribbon into 5-inch pieces?​

Answers

Answer:

no

Step-by-step explanation:

no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length

no 24 is not divisible by 5

Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5

Answers

Does this work:

1/5+1/5+1/5=3/5

PLEASE HELP.

Which TWO statements below are true about a polygon
. A quadrilateral is a polygon
. A ☆is a polygon.
A triangle is a polygon.
A circle is a polygon.

Answers

Answer:

2

Step-by-step explanation:

A quadrilateral is a polygon and A triangle is a polygon. I think

Please help! I need to work out the size of angle x.

Answers

Answer:

50+x=120°{ sum of interior angle of a triangle is equal to the exterior opposite angle of a trianglex=120-50x=70°

hope it helps.

Step-by-step explanation:

50 + x =120

x = 120 -50

x = 70

Pls help me with this

Answers

Answer:

3.7 pi

Step-by-step explanation:

2 pi r( n/360)

22 pi(60/360)

3.7 pi= 11.6

Find the perimeter of triangle round nearest tength

Answers

This is the answer. I hope it helps!

What is the answer to this question?

Answers

Answer:  12a^3b^4

Hope this helps

A study examined the effectiveness of an ear-molding technique used to correct ear deformities in newborns without the need for surgery. A plastic mold was placed around the deformed ear shortly after birth for about two weeks. The study reports that 152 of 158 procedures were successful. We would like to estimate with 95% confidence the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction. We can use

Answers

Answer:

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The study reports that 152 of 158 procedures were successful.

This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)

We want to find confidence interval and the formula is;

CI = p^ ± z√(p^(1 - p^)/n)

We are told that the study reports that 152 of 158 procedures were successful. Thus;

n = 158

p^ = 152/158

p^ = 0.962

Now, we want to find the confidence interval at a 95% confidence level.

The critical z value for 95% confidence level is;

z = 1.96

Thus;

CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)

CI = 0.962 ± 0.0298

CI = (0.962 - 0.0298), (0.962 + 0.0298)

CI = (0.9322, 0.9918)

Read more at; https://brainly.com/question/17212516

Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?

Answers

Fina spent $83.65 in all.

What is the difference between 8x3-2x2+5x-7

Answers

-15

this is the answer :)

Answer:

I would say 55

Step-by-step explanation: 8x3=24-4=20+5x7=55

Gavin went on 24 runs last month that totaled 100 miles. Each run was a distance of either 3 miles or 5 miles. Which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that Gavin went on last month?
A.
x + y = 100
3x + 5y = 24

B.
x + y = 100
5x + 3y = 24

C.
x + y = 24
3x + 5y = 100

D.
x + y = 24
5x + 3y = 100

Answers

Answer:

d

Step-by-step explanation:

Compare the value of the 3 in 340, 500 to the value of the 3 in 3,160,000
Which statement is true?

Answers

Answer:

C.

Step-by-step explanation:

Mark buys a wooden board that is 7 1/2 feet long. The cost of the wooden board is $0.50 per foot, including tax. Enter the total cost, in dollars, of the wooden board.

Answers

Answer:

$3.75

Step-by-step explanation:

The board is 7 and a half feet long. It costs 0.5 per foot.

Therefore we can just multiply the two to find the total cost:

0.5 x 7.5 = $3.75

Hope this helped!

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