The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to
time) when the height is 20 cm.
A. 36Pi
B. 108pi
C. 360pi
D. None of these

Answers

Answer 1

Answer:

108π cm^3/min

Step-by-step explanation:

At a time of t min, let the height be h cm

The volume of a cylinder;

V = π r^2 h

  = 36π h

differentiating both sides with respect to t;

dV/dt = 36π dh/dt

but dh/dt = 3 cm/min

dV/dt = 36π(3) = 108π cm^3/min


Related Questions

father bought 2kg 200g of potatoes and 1kg 500g of tomatoes.find the total weight of vegetables he bought​

Answers

Answer:

3kg 700g

hope it helps:-) :-)

What is the hexadecimal conversion of the decimal number 224?

Answers

Answer:

This is a little confusing to me this question but I think its "E0"

Step-by-step explanation:

a) Divide 224 by 16 and then separate what is on the left and right side of the decimal point.

b) Multiply the right side of the decimal point by 16 (and convert to hex if neccessary) and keep that number to the side.

c) Divide the left side of the decimal point by 16 and separate what is on the left and right side of the decimal point.

d) Repeat step b and c above until the value on the left side is 0.

e) Then simply enter the numbers you got in step b in reverse order to get the answer.

Following the instructions above, your math should look like this:

224 / 16 = 14

0 x 16 = 0

14 / 16 = 0.875

0.875 x 16 = E

Thus, 224 decimal converted to hex is as follows:

E0

A tennis shoes regularly sells for $20.00. The store advertises a 15% discount. What is the sale price of the necklace in dollars?

Answers

Answer:

Shoes with discount = $17

Necklace = Price * 0.85

Step-by-step explanation:

-If the tennis shoes store sells other things than shoes-

Shoes = $20.00

Discount = 15%

*Price expressed as a percentage*

Price without discount = 100%

Price after discount = 100% - 15%

Price after discount = 85%

*Normal price*

Price without discount = 20

Price after discount = 20 * 0.85

Price after discount = 17

Triangle ABC has 3 medians drawn creating centroid D. If a centroid creates a 2:1 ratio and one median is 24 inches, what is the larger piece?​
PLS HELP ASAP! WILL MARK BRAINLEST!! THX :)

Answers

Answer: The larger piece is 16 inches

Step-by-step explanation: Median of a triangle is a line segment uniting a vertex and the midpoint of the opposite side. A triangle has 3 medians and the point where these 3 intersect is called centroid.

The ratio of one median is 2:1, which means the line segment is divides by the centroid into two parts, one the double of the other. So:

2x + x = 24

3x = 24

x = 8

Then, the larger piece is

2x = 2(8) = 16

The larger part of the median measuring 24 inches is 16 inches

An electrician has a piece of wire that is 4 and 3/8 cm long. She divides the wire into pieces that are 1 and 2/3 cm long. how many pieces does she have? (Type out your work)

Answers

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

Hope this helped

use the number line to model the equation -5 + -3 = -3+ (-5)

Answers

Answer: I don’t have a number line, but...

Step-by-step explanation:

If you add -1 to any number, you lose one, right?

So, do that five times, and use the properties to show that there is no difference between them.

pls help ! will give brainliest ! the pattern of numbers below is a geometric sequence 2, 10, 50, a, b, c, ... find the values of a b and c

Answers

a=250 ,b=1250, c=6250

brainliest?

2(3x-(2x-3(3x+1)+5x)

Answers

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

if the function g has the factors (x-7) and (x+6), what are the zeros of function g?

Answers

The zeros are (7,0) and (-6,0).

Can you guys help me please and thank you.

Answers

Answer:

Y intercept is 3 (the first one)

Step-by-step explanation:


Help ASAP Find the measure of Z.

45°
75°
105

Answers

Answer:

75°

Step-by-step explanation:

m∠W = m∠Z = 180° - 105° = 75°

Answer:

75°

Step-by-step explanation:

Two girls and two boys went to the festival. The total cost of their tickets was $20. Each child paid the same amount for a ticket. What was the cost of each ticket? Solve this problem any way you choose​

Answers

Answer: $5

Step-by-step explanation: 4 children divided by 20 equals 5

what is the value of x in the eqation 5x+3=4x

Answers

Answer :x=-3

Step-by-step explanation:Solve for  x by simplifying bothh sides of the equation then isoolating the variable

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x - 3

x = -3

HELP PLEASE ASAP!!! Please show work I’ll mark you brilliant!!!!

Answers

Please mark brainliest!!

Tito opened a savings account with $100.
He saves $25 per month. Which of the
inequalities below can be used to find the
least number of months it will take Tito to
have $700 saved?
PLEASE HELP!! INEED A EQUATION

Answers

Answer:

100+25m=700

Step-by-step explanation:

i just took a good guess so don't trust it :)

Answer: 700/25=28

28x25=700               28 months

Step-by-step explanation:

since he saves $25 per month you have to divide 700 and 25 and you get 28

if You aren’t sure Its right then multiply 25 and 28 and you get 700


1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?

2. The bottom of a ladder must be placed 10 feet from a wall and reach a height of 16 feet. How long is the ladder?

I need help pls

Answers

Answer:

Step-by-step explanation:

Remark

Question One

It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.

Givens

altitude = h

a = 34/2 = 17

hypotenuse = 34

Formula

a^2 + h^2 = c^2

Solution

17^2 + h^2 = 34^2

289 + h^2 = 1156

h^2 +289 =1156

h^2 = 1156 - 289

h^2 = 867

sqrt(h^2) = sqrt(867)

h = 29.444

==============

Question Two

Givens

b = 10 feet

c = ?

height = h = 16

Formula

c^2 = b^2 + h^2

Solution

c^2 = 10^2 + 16^2

c^2 = 100 + 256

c^2 = 356

sqrt(c^2) = sqrt(356)

c = 18.87

5. A life insurance policy costs $16.00 for every $1,000.00 of insurance. At
this rate, what is the total policy cost for $50,000.00 of insurance.

Answers

Answer:

800.00

Step-by-step explanation:

so you give me a hint that was for every 16.00 it was 1000.00

i did 16x50=800

i got 50 from 50 in 50000 and the 16 from 16.00 so then i times 16 from 50 which is 800

8. Mary and Todd went on a bike trip. The first day they biked 17 miles, and the second
day they traveled 19 miles. Then they turned around and bicycled back home again by
the same route. How many miles did they travel in all?.

Answers

Answer:

They traveled 72 miles in all.

Step-by-step explanation:

Answer:

The answer is 72.

Step-by-step explanation:

217+229+314+215=975

Hope you have A Great day!

Get this right and I'll give Brainlist!!!!!!

Answers

Step-by-step explanation:

So, we have f / -(2/3) = -(1/3), right?

Well, this means that f = -(1/3) * -(2/3) = positive 2/9 !

Your answer is f = 2/9 :)

Answer:

F = 2/9

Step-by-step explanation:

1. The ratio of women to men at a construction site is 2 to 4. There are a
total of 60 workers. How many of the workers are women?

Answers

30 because half of them are women half are men because 2/4 is equal to 1/2

5)
The completely factored form of
2dº +6d-18d - 54d is

Answers

Answer:

=

2

d

4

18

d

2

+

6

d

3

54

d

 

=

2

d

2

(

d

2

9

)

+

6

d

(

d

2

9

)

=

(

2

d

2

+

6

d

)

(

d

2

9

)

=

(

2

d

2

+

6

d

)

(

d

+

3

)

(

d

3

)

=

2

d

(

d

+

3

)

(

d

+

3

)

(

d

3

)

=

2

d

(

d

+

3

)

2

(

d

3

)

Step-by-step explanation:

Classify the triangle shown below. Check all that apply.

Answers

equilateral and acute

Answer:

A, E, F

equilateral, acute, and isosceles

Step-by-step explanation:

can someone help me please and thank you!!

Answers

Answer:

Perimeter: perimeter = (12 x 2) + (x-2 times 2)

Area: 12 x (x-2)

Step-by-step explanation:

I hope im right im only in grade 6 so wouldnt  trust me with that :/  

Change 3 minutes 12 seconds to seconds?​

Answers

Answer:

192

Step-by-step explanation:

Answer:

192 BECAUSE 3 MIN = 180 SECONDS + 12 SECONDS = 192 SECONDS

Step-by-step explanation:

3x?=90 Can somebody please help me

Answers

Answer: 30

Step-by-step explanation:

3 x 30 = 90

Hope this helps!!

Answer:

x = 30

Step-by-step explanation:

3x = 90

Divide both sides by 3.

x=  3/ 90

Divide 90 by 3 to get 30.

x=30

7. Lin is reading a 146-page book. She read the first 20 pages in 35 minutes. 1 point How many minutes does it take her to finish reading the book?​

Answers

Answer:

255.5 minutes or 255 minutes and 30 seconds

Step-by-step explanation:

146 pages/ x minutes

20 pages/ 35 minutes

All you have to do is cross-multiply to find the answer.

146x35= 5110

5110/20=x

5110/20= 255.5

x= 255.5

Write 6.384 correct to 1 decimal place ?

Answers

Answer:

Write 6.384 correct to 1 decimal place ?=6

Answer:

6.4

Step-by-step explanation:

Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth. The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.

In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.

The number rounded to one decimal place is 6.4.

Five kittens share 6 cups of milk equally. How much milk does each kitten get?

Answers

Answer:

They get .83 cup per.

Step-by-step explanation:

Divide 6 by 5. So do 6 / 5, which gets you 0.833333333

Logan ate g out of 16 gumdrops. Write an expression that shows how many gumdrops Logan has left.

Answers

Answer:

16-g=x

Step-by-step explanation:

You know you need to subtract because it says ate out of. Next you don't know how many gumdrops Logan ate so they gave a the variable g. Since you don't know how many gumdrops he ate you don't know how many are left. You need another variable to represent how many gumdrops are left.

determine the axis of
symmetry for y=x²+2

Answers

Answer:

x=0

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a

in our case

y=x^2+2

a=1 b=0 c=2

so x=-b/2a=-0/2*1=0

x=0 is axis of symmetry

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