Mathematics College

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.8 in/s. At what rate is the volume of the cone changing when the radius is 138 in. and the height is 143 in.?

Answers

Answer 1

Answer:

34191.7πin³/sec

Step-by-step explanation:

Volume of circular come = 1/3pi x r² x h

When we differentiate this formula we have

dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]

We have the following information

r = 138

H = 143 inch

dr/dt = 1.4

dh/dt = -2.8

When we plug into the formula

1/3π[130² x -2.8 + 2x138x143x1.4]

= 34191.7πin³/sec

Related Questions

Here is a balanced hanger diagram:
A circle has a mass of 3 grams and a square has a mass of 2 grams.
Which is the mass of a triangle?
a. 9/5 grams
b. 715 grams
c. 3 grams
d. 11 grams

Answers

Answer:

D

Step-by-step explanation:

11 grams because the the most logical.

 Option C. 3 grams is the answer.

    Mass given,

One circle = 3 gramsOne square = 2 grams

For the balanced hanger diagram,

Mass on left arm = Mass on right arm

Mass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)

Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)

Equation for the balanced hanger,

2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)

Now solve this equation,

(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)

3.(one square) + 1.(one circle) = 3.(one triangle)

3.(2) + 1.(3) = 3.(one triangle)

6 + 3 = 3.(one triangle)

One triangle = 3 grams

    Therefore, Option (C) will be the correct option.

Learn more,

https://brainly.com/question/15558745

HELP ME PLS BRAINLIST QUICK

Answers

Answer:

its the second choice

Step-by-step explanation:

because they need to be opposite plus minis things

A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information

Answers

Answer:

not enough information

Answer:

It's 0.6

Step-by-step explanation:

. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90 Step 2: 39.90 + 9.5 = 49.40

Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her error. Explain in writing how to accurately calculate the sales tax, total cost, and state the correct total. ( Round final answer to the nearest hundredth)

Answers

Answer:

39.995=40.00

Step-by-step explanation:

    0.095 is tax he just added 9.5 he is not correct

Are these triangles congruent ?

And what is the theorem ?

I will give a brainlist for the correct answer :)

Answers

Answer:

Step-by-step explanation:

The two marked sides are congruent.

The angle that is marked is congruent to the other angle opposite it.

The line in the middle is equal to itself.

You have an angle between to equal sides.

The triangles are congruent by SAS

____________________

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

We can subtract 3x, add 12, and divide by 4.

  7x -12 = 3x +8

  4x -12 = 8 . . . . . . . . subtract 3x

  4x = 20 . . . . . . . . . . add 12

  x = 5 . . . . . . . . . . . . divide by 4

b) 7p + 6q- 2p + q = ?

Answers

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X

Answers

Answer:

.50 cents per pound

Step-by-step explanation:

Paul spent $48.00 on three tickets to a concert. Janis spent $90.00 on five tickets to the same concert. How much did each ticket cost for the cheaper individual ticket?

Answers

Answer:

Paul's tickets costed 16 dollars each

while

Janis' s tickets costed 18 dollars each

Answer:

$16

Step-by-step explanation:

48 divided by 3 is 16. 90 divided by 5 is 18. Paul is getting the better deal. Each ticket is $2 less.

There are 4 birds and 6 snakes. What is the ratio of birds to snacks?

Answers

Answer:

2:3

Step-by-step explanation

To get this you find the greatest common denominator (2) and divide both numbers by it. 4 divided by 2 is 2 and 6 divided by 2 is 3.

Best Answer gets BRAINLIEST!!!

Answers

Answer:

3.5/1  

Step-by-step explanation:

so 3.5

It would be 3.5/1 because going up you get 3.5 and going to the right you get 1 hope it helps:)

Scott has a bag with 144 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Scott give his sister?

Answers

Answer:

Step-by-step explanation:

Scott has 144 pieces of candy

25% is one 4th

144/4=36

he gives to his sister 36

Answer:

Scott gives his sister 36 peices of candy

Step-by-step explanation:

You-pick blueberry farm offers 6 lbs of blueberries for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries.

Answers

$16.50 divided by 6 yahhhh feeelll meeee

31.8 dived 0.58 answer

Answers

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

Please answer i need help

Answers

m = 2/5 x b = 4 because u divided both by 5

I need help with this please.

Answers

Answer:

CCCC.

Step-by-step explanation:

A copy machine makes 24 copies per minute. How long does it take to make 138 copies?

Answers

x=minutes passed
y=number of papers

24x=y
24x=138

138/24=5.75
x=5.75

it will take 5.75 minutes to print 138 copies
6 minutes and 15 seconds

1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422

Answers

He made 10 doallars and 50 cents thank you

Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles

Answers

ok so do 17.95x82 then with that answer divide it by 131.93

qustion to give kagimatoby a brainly

Answers

Answer:

wdym

Step-by-step explanation:

PLEASE HELP ME FAST!!!

The ratio of boys to girls who play kickball at recess is 6 to 2. There are 18 girls on the team. What is the number of boys who play kickball at recess?

A. 108
B. 54
C. 6
D. 36

Answers

Answer:

B

Step-by-step explanation:

6:2

2x9=18

6x9=54

54 boys to 18 girls

The number of boys who play kickball during breaktime is 54.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that, the ratio of boys to girls who play kickball during breaktime is 6 to 2, there are 18 girls on the team,

Let the number of boys be 6x and that of girls be 2x

Therefore, 2x = 18

x = 9

6x = 6*9 = 54

Hence, The number of boys who play kickball during breaktime is 54.

For more references on Ratio, click;

https://brainly.com/question/13419413

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Total Cost of Computer Repair = $1,444.50

Shipping = 2 percent of Total Cost

If Sarah wanted to include a 15 percent gratuity, based on the total cost of the computer repair, excluding shipping, how would you find her new total cost?

Answers

Answer:

Its D

Step-by-step explanation:

0.02 ($1,444.50)

Answer:

D

Step-by-step explanation:

write -12 in a and b form

Answers

Answer:

whats ur question i dont understand

Step-by-step explanation:

idu

Answer:

thanks fOr the points

Step-by-step explanation:

What is the equation of the line with a slope of 4 and a y-intercept of —2?

Answers

the straight line equation is y = mx + c

m = 4
y-int = -2

thus , the equation is y = 4x - 2

Enuncia 5 vectores que pertenecen a un mismo sub espacio

Answers

Answer:

what?

Step-by-step explanation:

2.3 times 4.7 how to do it show anwser

Answers

Answer:

10.81

Step-by-step explanation:

See the picture to help u

please help me solve

Answers

Answer:

CD

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Need help ASAP! What is the value of x?

Answers

Answer:

98 degrees.

Step-by-step explanation:

Add 53 and 45 to get 98 degrees. This is the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Solve the equation.
-5r-1=7r+5

Answers

Answer:

r=-1/2

Step-by-step explanation:

(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5

b) Chill Pill Pharmaceuticals is expecting a growth rate of 14% for the next two years due to its new drug. Thereafter it should level to an 8% growth rate. The last dividend paid was $0.65 per share. What price should the stock sell for if investors require 12% return?

Answers

Answer:

0.20

Step-by-step explanation:

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