V=1/3πr²(h-1) find h

Answers

Answer 1

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!


Related Questions

blake and josh are both saving money for a new bike. the ratio of blake,s saving to josh saving is 3:1 if they have saved 400$, how much has each boy saved

Answers

Answer:

200 each.

Step-by-step explanation:

400 divided by 2 is 200

Im bad at money :/ do please help me

Answers

The third answer

1 quarter, 6 dimes, 1 nickel, 7 pennies

is 3/8 bigger or smaller than 3/5

Answers

3/8 is smaller than 3/5.

3/8 is smaller than 3/5

Find the LCD of both fractions:

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, …

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, …

40 is the LCD of denominators 5 and 8.

Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:

3/8:

3 x 5 = 15

8 x 5 = 40

15/40

3/5:

3 x 8 = 24

5 x 8 = 40

24/40

15/40 < 24/40

Hope this helps

1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?

Answers

Answer:

$163.8 more.

Step-by-step explanation:

Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.

If the average annual CPI of a career goes from 124.0 to 130.7 what is the inflation rate (don't forget to put % in your answer).

Answers

Answer:

(new-old)/old * 100%

130.7-124/124 = .054 = 5.4%

Step-by-step explanation:

Question 3(Multiple Choice Worth 2 points)
Write the equation 4x – 3y = 12 in the form y = mx + b.
Oy = t - 4
o
y = 3x – 12
o
IN
Y
ft +4
Oy = -x - 4

Answers

Answer:

y = [tex]\frac{4}{3}[/tex] x - 4

Step-by-step explanation:

Given

4x - 3y = 12 ( subtract 4x from both sides )

- 3y = - 4x + 12 ( divide terms by - 3 )

y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b

can someone help I need help lol

Answers

2/3^3=
2^3/3^3=
8/27
Hope helps u

How to solve
56.25x = 678

Answers

Answer:

x = 12.053

hope this helps !!

x=12.053 hope that help you :D

Evaluate the expression.
5 x -3 + 2

Answers

Answer:

5x-1

Step-by-step explanation:

solution

5x-3+2

or, 5x-1

Aisha wants to paint the wall of the room. She knows that each can of the paint contain one gallon. A half gallon will completetly cover a 55 square feet of wall. Each of the four wall of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 ft wide. How many one gallons buckets of paint does aisha need to buyin order to paint the room ?

Answers

Answer:

It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.

In reality it would be 10.

You have to choose.  What has been done with other questions like this.

Step-by-step explanation:

1 can covers 55 square feet.

h = 10

w1 = 10 feet

w2 = 10 feet

w3 = 15 feet

w4 = 15 feet

Total area = Area of wall 1 + wall 2 + wall 3 + wall 4

Total area = 10*10 + 10*10 + 10*15 + 10* 15

Total area = 100  + 100 + 150 + 150

Total area = 500  feet^2

1 gallon / 55 ft^2 = x / 500 ft^2          Cross multiply

55 * x = 500                                       Divide by 55

x = 500/55

x = 9.1 gallons.

In real life you would buy another gallon.

Find the distance between each pair of points (-4,6) and (3,-7)

Answers

Answer:

Here is your answer . Hope this helps you.

Answer:

[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7

Substitute the values into the formula.

[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]

Solve inside the parentheses.

(3--4) = (3+4) = 7 (-7-6) = -13

[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]

Solve the exponents.

(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169

[tex]d= \sqrt{ (49)+(169)[/tex]

Add.

[tex]d= \sqrt{218}[/tex]

[tex]d=14.76482306[/tex]

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

[tex]d \approx 14.76[/tex]

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

0<4K-5k

Can I get some help thanks

Answers

Answer:

0>k

Step-by-step explanation:

0<4k-5k

Combine like terms

0<-k

Multiply each side by -1, remembering to flip the inequality

0>k

john has a mass of 54 kg ,60grams. how many grams is that

Answers

Answer:

54,060g

Step-by-step explanation:

1kg=1000,

therefore 54kg= (54x1000)

                        = 54000+60

                        = 54060g

54000+60

=54060
The answer is

-2u+(-1)=-13
---------------

Answers

Answer:

Solution given

-2u+(-1)=-13

open bracket

-2u-1=-13

add 1 on both side

-2u-1+1=-13+1

-2u=-12

divide both side by -2

-2u/-2=-12/-2

u=6

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{-2u + (-1) = -13}\\\textsf{-2u - 1 = -13}\\\large\text{ADD 1 to BOTH SIDES}\\\textsf{-2u - 1 + 1 = -13 + 1}\\\large\text{CANCEL out: -1 + 1}\\\large\text{KEEP: -13 + 1}\\\rightarrow\textsf{-2u = -12}\\\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2u}{-2}= \dfrac{-12}{-2}}\\\textsf{CANCEL out: }\mathsf{\dfrac{-2}{-2}}\\\textsf{KEEP: }\mathsf{\dfrac{-12}{-2}}\\\mathsf{u = \dfrac{-12}{-2}}\\\mathsf{u = \bf 6}\\\huge\boxed{\mathsf{Answer: u = 6}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

Kajal spoke on the phone from 4{:}50 \text { p.m.}4:50 p.m.4, colon, 50, start text, space, p, point, m, point, end text until 6{:}19 \text { p.m.}6:19 p.m.6, colon, 19, start text, space, p, point, m, point, end text
How long did Kajal speak on the phone?

Answers

Answer:

1 hour and 29 minutes

Step-by-step explanation:

4:50 pm to 6:00 pm is 1 hour and 10 minutes.

6:00 pm to 6:19 pm is 19 minutes.

1 hour and 10 minutes + 19 minutes = 1 hour and 29 minutes.

Explanation:

Let's find out how long Kajal spoke on the phone.

4:50 + 10 mins = 5:00

5:00 + 60 mins = 6:00

6:00 + 19 mins = 6:19

To find the total time between 4:50 + 6:19, we add the distances.

10 mins + 60 mins + 19 mins = 89 mins

Thus, Kajal spoke on the phone for 89 minutes.

Do you want to see the distance? If yes, look down for my picture↓, but don't forget to mark it as a brainlist!

Find the value of x.

Answers

Answer:

x=70

Step-by-step explanation:

c would equal 80 because 80 is on the othwr side and 30 would transfer to the angle of D the you would add 80 and 30 and subtract it by 180 leaving you with 70

We can calculate the volume V of a rectangular prism using V = lwh, where l is the length, w is the width, and h is the height of the
prism. Suppose that a prism has a volume of 200 cm and l = 2w.
a. Select all of the equations that rewrite the volume formula by making substitutions for V and l.
200 = 2w²h
200 = 4wh
V = 22
2w xwxh = 200

Answers

Answer:

Step-by-step explanation:

200=2w²h

The equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

We have a prism and the formula to calculate its volume is given.

We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.

What is Prism ?

A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.

According to the question, we have -

Volume of Prism = 200 cubic centimeter

L = 2w

The formula to calculate the volume of prism equals to -

V = Lwh

Substituting values, we get -

200 = 2[tex]w^{2}[/tex]h

or

2w x w x h = 200

Hence, the equations are -

200 = 2[tex]w^{2}[/tex]h

2w x w x h = 200

To solve more questions on prism, visit the link below-

https://brainly.com/question/17619973

#SPJ2

In a hotel, 40 people occupy excatly 26 rooms. Each room is occupied by either one or two people. How many rooms are occupied by exactly one person?

Answers

Answer:  12 rooms

Explanation:

Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.

There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.

This three pleaseee

Answers

Answer:

Hi. 6.2 is rational

Step-by-step explanation:

Irrational numbers never end. They go on forever.

x^3*x^8=x^11 (When you multiply, add the powers)

First one is x^11 and the second one 13/50

8x-2y+5z=-5
5x+2y-3z=7

Answers

Answer:

167

812

Step-by-step explanation:

I think it's correct and helping you get a great day:)

help please!!!!!!!!!!!!!!​

Answers

Answer:2

2b√5ab

Step-by-step explanation:

Answer:

[tex] \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you[/tex]

Need help with these 3

Answers

Answer For Number 4: The distance between the two points is five.

Step-by-step explanation:

First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.

Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and trucks are on the lot?

Answers

Answer:

41 cars and 86 trucks

Step-by-step explanation:

C+T=127

2C+4=T

C+(2C+4)=127

3C+4=127

3C=123

C=41When C=41,

41+T=127

T=127-41

T=86

Y=DB-3 solve for d. These equations are still tricky for me.

Answers

add 3 to both sides, this gives y + 3 = db

then divide both sides by b, this gives (y + 3)/b = d

The base of a rectangle is 3cm more than the height. The perimeter is 26cm. Determine the length of the base in centimeters.

Answers

Answer:

Step-by-step explanation:

b = h+3

Perimeter = 2b+ 2h

= 2(h+3) +2h

= 4h+ 6

4h+6 = 26

h = 5 cm

b = h+3 = 8 cm

A student’s incorrect attempt to simplify an exponential expression is show in the box

What is his mistake!!!!!

Answers

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents

if f(x)=x-4 find the value if f(x)+f(-x) ​

Answers

Answer:

2x

Step-by-step explanation:

f(x) = x -4

Step 1:

y = x - 4

Step 2: Replace y with x

x = y - 4

Step 3: Find y

x + 4 = y  

f(-x) = x + 4

f(x) + f(-x) = (x - 4)+ (x + 4) = 2x

Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the following choices represents the
number of gallons left in her car?

A) 22x+7
B) 22x-7
C) 8x+1
D) 8x-1

Answers

Answer:

D) 8x - 1

Step-by-step explanation:

Let's say that x = 5.  That would mean Amelia put 15(5) - 4 gallons of gas in her car, which equals 71 gallons.  She used 7(5) - 3 gallons driving to work, which is 32 gallons used.  71 - 32 = 39 gallons left.  

What else equals 39, you might ask?

8(5) - 1

40 - 1

39.

Answer:

D is the answer

Step-by-step explanation:


Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!

Evaluate –3² + (2 – 6)(10).

Answers

Answer:

-49

Step-by-step explanation:

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