There are many cylinders for which the height and radius are the same value. Let
c
c
represent the height and radius of a cylinder and
V
V
represent the volume of the cylinder.

Write an equation that expresses the relationship between the volume, height, and radius of this cylinder using c and V.
If the value of c is halved, what must happen to the value of the volume V?

Answers

Answer 1

Answer:

Relation between V and c is represented as:

[tex]V = \pi c^{3}[/tex]

When c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder and

[tex]h[/tex] is the height of cylinder

Putting [tex]r = h =c[/tex]

[tex]V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)[/tex]

The values of c is halved:

Using equation (1), New volume:

[tex]V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}[/tex]

By equation (1), putting [tex]\pi \times c^{3} = V[/tex]

[tex]V' = \dfrac{1}{8} \times V[/tex]

So, when c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.


Related Questions

I need help on this.​

Answers

Answer

He made a mistake on the First step I think

Step-by-step explanation:

1st one

Answer:

First mistake appears in First Step

Step-by-step explanation:

First mistake appears in First Step, within the parenthesis need to solve division first.

2 + 5 x (4 + 18 ÷ 6)

Step 1 should be 18 ÷ 6

2 + 5 x ( 4 + 3 )

Step 2 is 4 + 3

2 + 5 x 7

Step 3 is 5 x 7

2 + 35

Step 4 is 2 + 35

Answer 37  

Please answer the attachment below Correctly

Answers

Step-by-step explanation:

Find the cost of one part and then multiply that number by 9

i agree what he/she said

Suppose that the mean number of chocolate chips in 30 cookies is 19 chocolate chips. Explain what this means.

Answers

Answer: It means that there are 570 chocolate chips in all the 30 cookies

Step-by-step explanation:

The mean also referred to as the average of a data set is calculated by adding all numbers in a data set and dividing by number of values in the set.

Since the mean number of chocolate chips in 30 cookies is 19 chocolate chips, this means that there are:

= (30 × 19) = 570 chocolate chips in the cookies.

Find the domain of the function.

y = 5[tex]\sqrt{x}[/tex]

Answers

Answer:

[0, infinity)

Step-by-step explanation:

The domain is including all numbers from 0 to infinity.

The reason negative numbers are not included is because of the [tex]\sqrt{x}[/tex]. A negative number cannot be included there, otherwise it would be what's called an "imaginary number" (i).

Therefore, every number besides negative numbers are included in the domain.

will mark bianleast plz i really did this
What is the scale factor for the similar figures?

1/6
1/3
2/3
3









Answers

Answer:

1/3

Step-by-step explanation:

Scale factor = 4/12 = 1/3

My question is a complex numbers question: square root -6 times square root -24 the answer is -12, but I don't know how to solve it

Answers

Answer:

see below

Step-by-step explanation:

sqrt( -6) * sqrt(-24)

We know that sqrt(a b) = sqrt(a) sqrt(b)

sqrt(6) sqrt(-1)  * sqrt(24) sqrt(-1)

We know that sqrt(-1) = i

sqrt(6) i  * sqrt(24) i

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(6*24) i*i

sqrt(144) i^2

12 i^2

We know that i^2 = -1

12 (-1)

-12

which choice is equivalent to the product below when x>0​

Answers

Answer:

sqrt(6x^2+18x)

Step-by-step explanation:

sqrt(6x) * sqrt(x+3)

We know sqrt(a)sqrt(b) = sqrt(ab)

sqrt(6x * (x+3))

sqrt(6x^2+18x)

Answer:

[tex]\text{B. } \sqrt{6x^2+18x}[/tex]

Step-by-step explanation:

[tex]\sqrt{6x}\sqrt{x+3}[/tex]

[tex]\sqrt{6x(x+3)}[/tex]

[tex]\sqrt{6x^2+18x}[/tex]

7/8 of my money is £4.90. What is 5/8 of it?
AWARDING BRANLIEST TO WHOEVER CAN ANSWER!!

Answers

Answer:

£3.50

Step-by-step explanation:

£4.90 = 7/8

£4.90/(7/8) = £5.60 (Total Amount of Money)

£5.60 x (5/8) = £3.50

Answer:

£3.50

Step-by-step explanation:

    [tex]\frac{7}{8}[/tex] = £4.90

(÷7)              (÷7)

    [tex]\frac{1}{8}[/tex] = £0.70

(×5)              (×5)

    [tex]\frac{5}{8}[/tex] = £3.50

I hope this helps <3

What is the mean absolute deviation (MAD) for the 2nd bowler? Round to the nearest tenth.

Answers

Answer:

8.49

Step-by-step explanation:

8 + .49 = 8.49     :)

will give brainliest plz helpp!!!
There is two parts part a and part B please answer both Thank you

Answers

Answer:

The answer too your question is C. to your first part

To the second part D. is one of the answers so is E.,

Step-by-step explanation:

It is C. because there are three ones, one 4, one 3, and  one 2. that is the explanation too the first part.

Answer only. What is the greatest possible sum of the digits of a six-digit number that is a multiple of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11?

Answers

Answer: 36

The LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 2 × 3 × 2 × 5 × 7 × 2 × 3 × 11 = 27720.

A multiple of 27720 will end in 0, and the sum of its digits will be a multiple of 9.

The largest 6-digit number which is multiple of 9 with last digit of 0 is 999990, and the sum of its digits is 45. 45 is not a multiple of 27720, and there is no other way to get a digit sum of 45.

We now look at the next biggest multiple of 9, 9 × 4

= 36.

The largest 6-digit multiple of 27720 is 27720 × 36 = 997920, and the sum of its digits is 36.

sqrtx^2+6x+9 if x≥3



please help quick idk how to do this at all

Answers

Answer:

x+3

Step-by-step explanation:

sqrt(x^2+6x+9)

factor

We know this is a perfect square trinomial

sqrt(( x+3)^2)

Taking the square root of a square

x+3

What is the perimeter of the triangle?. I need help with this pretty please​

Answers

the answer is 12


P=a+b+c

Answer:

132

Step-by-step explanation:

13x2= 26 26+18 = 44

44x3=132

Lines m and n are parallel. Parallel lines m and n are cut by transversals s and t. Clockwise from top left, the angles formed by m and t are blank, blank, (5 x minus 1) degrees, blank; formed by m and s are blank, (9 x + 2) degrees, blank, 1; formed by n, s, and t are blank, 2, 74 degrees, blank, blank, blank. What is Measure of angle 2? 39 degrees 57 degrees 67 degrees 74 degrees

Answers

Answer:

67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

2) Trisha owns 25 shares of a common stock in a pharmaceutical company. Last month the price of the stock was $35.48 per share. Today, the price of the stock is $27.36. By how much did the value of the stock decrease? Enter your answers as a number like 105.

Answers

Answer: 77 percent

Step-by-step explanation:

The value of the stock decrease by 23.13%.

What is Percent Decrease?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Given:

The price of the stock was $35.48.

Then The price of the stock is $27.36.

So, the decrease in amount= 35.48 - 27.36 = 8.12

Then, percent decrease

= 8.12/ 35.48 x 100

= 23.13%

Hence, the percent decrease is 23.13%.

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The totalnumber of combinations are ______.

Answers

Answer:

b.

Step-by-step explanation:

Answer:

b) 75

Step-by-step explanation:

The totalnumber of combinations are: 5×3×5 = 75

You have 5 choices for a drink and for each drink you have 3 choice for a sandwich and for each chosen sandwich you have 5 choices for a side.

a combination is :

( drink , sandwich, side )

  5      ×    3         ×  5

I need help to solve this proportion

Answers

Answer:

5

Step-by-step explanation:

cross multiply

isolate x

12x=7.5(8)

12x=60

12x/12=60/12

5 is the answer

An equation of the line of best fit for a data set is y=0.54x+3.04. Describe what happens to the line of best fit when each y-value in the data set is doubled.

Answers

Answer:

The slope decreases and the y-intercept decreases.

Explanation:

Red is original, blue is when y is doubled.

Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true? a. Fran must work at least 15 hours per week to meet her goal. b. Fran must work at least 17 hours per week to meet her goal. c. Fran must work at least 18 hours per week to meet her goal. d. Fran will not be able to reach her goal.

Answers

Answer:

b

Step-by-step explanation:

The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, According to the given details,

Fran works 15 hours per week for $225 which makes it $15 per hour.

Hence, If she adds another 2 hours per week to make it 17 hours,

Then, she will earn $255 dollars per week.

Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Hence, The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

Learn more about the mathematical expression visit:

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James's T-shirt business uses the demand function P= -Q+31 and the

supply function P= Q- 17. According to these functions, what will the

equilibrium point (P, Q) be for James's T-shirt business?

Answers

Answer:

Step-by-step explanation:

7,24

What is the earned income credit (EIC)?
А. a nonrefundable tax credit designed for those who pay for dependent care while at work
B.a refundable tax credit designed for those who pay for dependent care while at work
C. a nonrefundable tax credit designed for those with low to moderate income from working
D. a refundable tax credit designed for those with low to moderate income from working​

Answers

Answer:

D

Step-by-step explanation:

The United States federal earned income tax credit or earned income credit is a refundable tax credit for low- to moderate-income working individuals and couples, particularly those with children.

I need help on this.

Answers

Answer:

Option 4

Step-by-step explanation:

Thank me later

Answer:

three hundred fourteen thousandths3 x (1/10) + 14 x (1/1000)

Step-by-step explanation:

In written form:

three hundred fourteen thousandths

In standard form:

0.314

In expanded form:

3 x (1/10) + 14 x (1/1000)

3 x (1/10) = .3

14 x (1/1000) = .014

.3 + .014 = .314

Therefore, these are the two correct answer choices.

The regular price of a pair of glasses is $90. The glasses are on sale for a discount price of $76.50 What is the percent of the discount ?

Answers

Answer:

15%

Step-by-step explanation:

[tex]\frac{76.50}{90}=\frac{x}{100}[/tex]         Set up a proportion.

[tex]90x=7,650[/tex]      Cross-multiply.

[tex]x=85[/tex]               Divide both sides by 90.

[tex]100-85=15[/tex]    The discounted price is 85% of the regular price so the                                          

                        discount is 15%.

percent of the discount is 15%

If you spun the spinner 1 time, what is the probability it would land on a white piece? Put your answer in fraction form.

Answers

Answer:  

4/7

Step-by-step explanation:  Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Rename 3/4 and 9/10 using the least common denominator.

Answers

Answer:

15/20 and 18/20

Step-by-step explanation:

Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10

multiples of 4: 4, 8, 12, 16, 20

multiples of 10: 10, 20

Least common denominator = 20

Rewrite fractions: 15/20 and 18/20

3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

What is LCM?

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, are two fractions 3/4 and 9/10 we know the LCM of 4 and 10 is 20.

∴ (3×5)/(4×5) and (9×2)/(10×2).     (we have to multiply same constant to the  

                                                         fraction to retain it's original value).

So,  3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

learn more about LCM here :

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Help me please!!!! Thank you

Answers

Answer:

[tex]ange a is 5[/tex]

angle b is 20

Answer:

angle a is 40

angle b is 20

amgle c is 120

Step-by-step explanation:

Please help with this

Answers

Answer:

Is D

Step-by-step explanation:

Because is moving four times right and four times down.

Mike can plow a field in 12 hours and his brother Phil can plow it in 15 hours. How long will it take them to plow it if they use two plows and work together?

Answers

Answer:

6.66 hours, that is, 6 hours and 40 minutes.

Step-by-step explanation:

If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.

If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.

So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:

(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66

So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.

Help!!! I need to get help asap

Answers

Answer:

C

Step-by-step explanation:

Because the x line is for degrees C and the y is for Degrees F and the y intercept is where C is at 0 and F is at 32 making it the temp in F when C is at 0 degrees

simplify 9r - 5t + 3r - 7t

Answers

Answer:

12(r-t)

Step-by-step explanation:

12r - 12 t

we take 12 comman factor

9r-5t+3r-7t=0
12r=12t
12r-12t=0
12(r-t)=0
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