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

Mickey exercises 1/4 hour every day.
How many hours does he exercise in 8 days?

Answers

Answer: You multiply 8 x 3/4=24/4.  Then you simplify your answer and it is 6 hours.  24/4 is division 24 divided by 4 equals 6.

Step-by-step explanation: Or, you can change 3/4 to a decimal which is .75.  Then you multiply .75 x 8 and the answer is 6.00 which is 6 hours because you do not use the zeros after the decimal point.

Answer:

2 hours

Step-by-step explanation:

You can just multiply 1/4 by 8. You're simply just adding on 1/4 8 times, and that is the same as multiplying.

A carton holds 24 packets of biscuits. Each packet has 12 biscuits. How many biscuits can be packed in 45 cartons?

Answers

Answer:

12960 biscuits

Step-by-step explanation:

1 carton= 24 packets of biscuits

45 cartons= 45x24=1080 packets.

One packet = 12 biscuits

1080 packets- (1080x12)

=12960 biscuits

plz mark me as brainliest.

which of the following describes the graph below

Answers

Answer:

b

Step-by-step explanation:

Complete the table values for y=1/2x cubed -2x+1

Answers

Answer:

y = x 4 − 6

y = 1 x − 2

Step-by-step explanation:

Hope I answered the question right!!

Given polynomial A and polynomial B below, which binomial factor do they have in common?

Answers

F. (n-4)
Polynomial A factors to (2n+9)(n-4)
Polynomial B factors to (n-6)(n-4)

Peter loves to play soccer. He practices 30 minutes on the first day, 36 minutes on the second day, 43.2 minutes on the
third day. He keeps up this pattern for the entire month of October. How much time, in total, will he have practiced after 31
days? Round to the nearest thousandth.

Answers

Answer:

I don't have the ability to actually find the answer right now,

Step-by-step explanation:

but the numbers are increasing by 1/5 per number, so do with that what you will

please help me this is confusing please add an explanation to it

Answers

Answer:

2

Step-by-step explanation:

As it would look better.

1 would make the graph too big

12 would be useless as there are no "answers" more than 12

10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.

107 > 45+ y hurry pls

Answers

Answer:

C. y<62

Step-by-step explanation:

107<45+y

(take 45 from both sides)

62<y, or y>62

The answer of the given inequality is 107>45+y is y<62.

We have given that inequality

107<45+y

What is inequality?

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

107<45+y

(take 45 from both sides)

Therefore the solution of inequality  62<y, or y>62.

To learn more about the inequality visit:

https://brainly.com/question/24372553

#SPJ2

What is the total surface area of the square pyramid whose net is shown?

Answers

Answer:

1,600 sq. inches

Step-by-step explanation:

Area of a triangle:

bh/2

= (20 x 30)/2

= 600/2

= 300

Area of square:

s^2

= 20^2

= 400

Four triangles:

300 x 4

= 1200

Total:

1200 + 400

= 1600

need help asap i have no clue how to solve this

Answers

Answer:

c and

28.57%

Step-by-step explanation:

count how many number fall into each category

50-59 has 1

60-69 has 2

70-79 has 4

80-89 has 4

and 90-99 has 3

So the last histogram fits this data

to find the % of those that are between 70-79, take the total number of items that fit into that category (4) and divide by the total number of items (14)

4/14=.2857 --> turn to a percent .2857*100=  28.57%

help me and I’ll give you brainliest

Answers

Answer:

8

Step-by-step explanation:

It's a ratio.

h/15=24/45

cross-multiply

45h=360

h=8

8 8 8 8 8 8 8 8 8 8 8 8

Which letter represents the maximum of the data set on the box plot? A B C E 25 30 35 40 45 50
O B
OC
OD
O E
please hurry​

Answers

Answer:

E

Step-by-step explanation:

The maximum of the data set is the point to the far right.

Point E is the maximum

Point A is the minimum

Point C is the mean

NO LINKS PLEASE
what is the slope of PQ?

Answers

Answer:

-2/3

Step-by-step explanation:

-1.5 - 0.5 / 2.5 - (-0.5)

= -2/3

( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9. What is the value of p + q + r + s ?

Answers

p(r + s) = 5 and q(r + s) = 3.

by simply addind those two equations.

p(r + s) + q(r + s) = 5 + 3

(p + q) (r + s) = 8                 Statement #2: (p + q) = (r + s)

(p+q)×(r+s)=(p+q)×(p+q)=(p+q

it's been said it's not allowed us to arrive at a specific numerical value. The statementby itself inadequate.

Help please!!!!!!!!!! Need ASAP!! Thank you!

Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?

Answers

I thinks it's the last one

hope this helps

Answer:

B. 4.5/t + 4.5/(2t) = 1

Step-by-step explanation:

Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2t

Their rate when working together:

6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1

Correct choice is B

What shape can be created by the given net? triangular pyramid wedge triangular prism cone

Answers

Answer:

your awnser would be option A. triangular prism

Step-by-step explanation:

Answer:

triangular prism

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct!

Answers

6.54 ft. Is the closest

Answer:

option 4 is definitely the answer

HELP ME PLEASEEEEEEEEE

Answers

Answer:

is it 56 units²? if not sorry

20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as

Answers

Answer:
B

Explanation:

Could somebody please help

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Each point moves to 3 times its original distance from the blue dot. Each length is 3 times as long as the original.

PLEASE ANSWER ASAP TIMED! A candle shop owner collected data on customers favorite scents as shown in the table. A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same what is the value of the missing probabilities? Inside the chart lavender 0.31 vanilla 0.18 cinnamon 0.23 floral? Coconut? The answer choices are 0.10 0.14 0.20 0.28

Answers

Answer: .14

Step-by-step explanation: 2020 edg

Answer:

.14

Step-by-step explanation:

I just took the test

Round 2.261 to the nearest half.

Answers

Answer:

2.0

Step-by-step explanation:

Should be right

pls help
its was on khan academy
i will mark u brainiest!!!

Answers

Answer:

[tex]14 units[/tex]

Step-by-step explanation:

[tex]Solution:-[/tex]

[tex]A(5,1)B(7,1)[/tex]

[tex]\sqrt{(x_{1}-x_{2} ) ^{2}(y_{2} -y_{1}x^{2} }[/tex]

[tex]AB=\sqrt{(7-5)^{2} +(1-1)^{2} }[/tex]

[tex]= \sqrt{2^{2} } =2[/tex]

[tex]BC=\sqrt{7-7^{2}+(6-1)^{2} }[/tex]

[tex]=\sqrt{5^{2} } =5[/tex]

[tex]perimeter=2(AB)+2(BC)[/tex]

[tex]= 2(2)+2(5)\\[/tex]

[tex]= 4+10= 14[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

3. The photo below is being enlarged to form
a 16-by 20- inch print. What is the scale
factor being used to enlarge it?
4 in
5 in

Answers

Answer:

4 in

Step-by-step explanation:

Given the following data;

Length = 16 in

Width = 20 in

To find the scale factor;

Scale = 16:20

Dividing by 4, we have;

Scale = 4:5

Therefore, the scale factor is 4 in.

Scale = scale factor * ratio

Scale = 4 * (4:5)

Scale = 16:20

NO LINKS OR YOU WILL BE REPORTED ok thank you

can u answer this ​

Answers

Answer:

it's B

Step-by-step explanation:

It's definitely B


Dan received 45 out of 60 points on his science test. What percent did he receive on his test?

Answers

45/60 is 75%, it can also be simplified to 3/4

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate "Not a Real Number" ​

Answers

Answer:

undefined

Step-by-step explanation:

the expression is undefined in the set of real numbers

( HOPE THIS HELPED)

A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
How many minutes did it take to run 1 kilometer? ​

Answers

the answer is 6 minutes and 46 seconds

Please answer this with solution

Non sense + No solution = REPORT​

Answers

Answer:

1. mBC = 60 degree
2. BOC = 85 degrees
3. mBC = 75 degrees
4. AOD = 60 degrees

38%
Find the whole number that satisfies all of the following conditions.
• It is a whole number between 1 and 100 inclusive.
• 10% of the number is greater than 1 but less than 7.
of the number is a square number.
• The number is not a multiple of 6.
.
1/3

[3]
Note: Make your final answer clear by writing 'The number is ...'

Answers

(the question is formatted a bit weird, but I'm assuming the third statement is meant to be '1/3 of the number is a square number'. If not, let me know and I'll adjust my answer accordingly)

Answer:

The number is 27

Step-by-step explanation:

Let the number be called x.

10% of x is greater than 1 but less than 7. Written mathematically, this is 1<0.1x<7. Multiply this by ten to get 10<x<70.

1/3 of x is a square number. The squares 4, 9, and 16 are the only squares that satisfy this statement, because the if the square was 1, x would be 1, which doesn't fit x>10, and if the square was 25 or higher, x would be greater than 70, which doesn't fit x<70.

x isn't a multiple of six. If the square is 4, x is 12, which is a multiple of six so this doesn't work. If the square is 16, x is 48, which is a multiple of six too, so this doesn't work. But if the square is 9, x is 27, which isn't a multiple of six and satisfies the statement.

Double check that x=27 is a valid answer.

Is 27 a whole number between 1 and 100? Yes

Is 10% of 27 greater than 1 and less than 7? Yes (10% of 27 is 2.7)

Is 1/3 of 27 a square number? Yes (1/3 of 27 is 9, which is the square of 3)

Is 27 not a multiple of 6? Yes (27 isn't divided evenly by 6)

Therefore, the number is 27.

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