make r the subject of the formula in V= ⅓π r²h​

Answers

Answer 1

Answer:

switch the position

1/3πr²h=v

multiply all through by 3

3•1/3πr²h=3•v

3 will cancel out 3

πr²h=3v

divide both sides by πh

r²=3v/πh

root both sides

r=±√3v/πh


Related Questions

Given circle N with chord AB, which point lies on the perpendicular bisector of AB?

Answers

The point that lies on the perpendicular bisector of AB is point N

How to determine the point?

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

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help me please ill give expert for anyone who answers this

Answers

Answer:

see below

Step-by-step explanation:

There are two points where y = -3

   at x = -2   and x = 1

   when x = 0    f(0) = 1

x+6/x+3 X x-6/x-3

A. 2x-12/x-3
B. x-12/x-6
C. x^2-12/x^2-6
D. x^2-36/x^2-9

Answers

d

Step-by-step explanation:

what is the measure of ​

Answers

Answer:

what

Step-by-step explanation:

[tex]3x^2+8x+4=0[/tex]
Solve using the quadratic formula.

Answers

Answer:

[tex]x = -\dfrac 23\\\\x = -2[/tex]

Step by step explanation:

[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]

[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]

State fundamental theorems

Answers

Answer:

Step-by-step explanation:

wright the follwing in decimlal form:25/8

Answers

Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

Tips on how to study for GCSE’s

Answers

study material specific to the GSCE and i would recommend flash cards or a study guide.

help only answer if you’re sure

Answers

Answer: D.

Step-by-step explanation:

5/9 + 2/4

find common denominator

common denominator=36

5 x 4=20    2 x 9=18

9 x 4=36    4 x 9=36

20/36 + 18/36

20 + 18=38

38/36 simplify

1 2/36 (if not in simpliest form)

Find the standard equation for the circle having the given center and radius.
center (0,0)
radius 7

Answers

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49[/tex]

Box and whisker plot measure of central tendency answers

Answers

One of the best things about box plots is that they include all of the measures of central tendency in one convenient package.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The typical value of a set of data is known as the central tendency. We can measure central tendency in three different ways: mean, median, and mode.

Thus, one of the best things about box plots is that they include all of the measures of central tendency in one convenient package.

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PLEASE HELP!! i’ll give brainliest and no bots!

Find the next two terms in this
sequence.
50, 40, 31, 23, 16, [?], [?]

Answers

the answer is 10, 5. The sequence begins with subtracting 10 and with each new term, one less number is subtracted. 50-40= 10. 40-31= 9. 31-23=8. 23-16=7. 16-6=10. 10-5=5. hope this helped!!


In a group of 32 musicians, all play piano, guitar, or both. Of those musicians, 12 only play guitar and 16 play both How many of the musicians play only piano

Answers

Answer:

4 only play piano

Step-by-step explanation:

12 + 16 = 28

32 - 28 = 4

What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?

30y^10
5y^2
y^2
5y^10

Answers

Answer:

5y²

Step-by-step explanation:

Prime factorizing each term :

⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰

⇒ 15y⁶ = 5 x 3 x y⁶

⇒ 5y² = 5 x y²

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

From this, we understand the GCF of the numbers are :

5 × y²

5y²

Three numbers have the sum of 112. The first number is twice the second and the third number us twice the first. What is the smallest of the 3 numbers?

Answers

Answer:

x = 16

Step-by-step explanation:

Let the second number be x.

The first number = 2x

The third number = 2×2x = 4x

2x + x + 4x = 112

7x = 112

x = 112/7

x = 16

Find the measure of the three missing angles in the rhombus below.
Explain it.

Answers

The measure of the three missing angles in the given rhombus are:

x = 122°

z = 58°

y = 122°

What is a Rhombus?

A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.

x and 58° are adjacent angles and are therefore supplementary.

x = 180 - 58 = 122°

z = 58° (opposite angles)

y = x = 122° (opposite angles)

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Identify the national road that follows the coastline on the eastern side of the south Africa?

Answers

The name of the national road that follows the eastern coastline of South Africa is the N2.

Which road follows South Africa's eastern coastline?

The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.

It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.

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Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer

Answers

The age of Jennifer is 16.

What is Jennifer's age?

Let Jennifer's age be represented with x

Jonathan's age would be 2x

The sum of their ages would be 48

2x + x = 48

3x = 48

x = 48 /3 = 16

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Answer:  Jennifer is 16

Step-by-step explanation: 2x+y=48, divide by 3 then multiply by 2

Name the inverse opet
The inverse operation that you can use to solve this equation is

Answers

Answer:

Division

Step-by-step explanation:

You can use division to divide fractions.

Say you have a problem

3/4 divided by 2/5

Turn 2/5 into its reciprocal

That would be 5/2

then multiply 3/4 and 5/2

Which would be 15/8

Which is your answer

(not sure if this is what you are really asking)

Is 9 a solution to the equation 21=3p-5? Show work

Answers

Answer:

No

Step-by-step explanation:

21 = 3p - 5

Step 1 : Add 5 on both sides

21 + 5 = 3p

26 = 3p

3p = 26

Step 2 : Divide 3 on both sides

p = 26/3

Hence, the solution of the given equation is 26/3, not 9.

Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.

Answers

Answer:

it will cost $48

Step-by-step explanation:

30/10 = 3

3x6 = 18

18 + 30 = 48

Answer:

$48

Step-by-step explanation:

30/10 equals to 3/1 3 x 16 is 48

Sheryl takes a summer job selling hats for a local soccer team. she realizes that there is a relationship between the number of games the team wins each season and the number of hats vendors like her tend to sell. she collects data from the past several seasons. the scatter plot shows her data and the line of best fit.

Answers

The equation of the line of fit and the data shows that the number of hats will be 48.

How to get the value?

From the information, x games is won as y hats are sold. Therefore, the equation is given as:

y = 3.75x + 13.75

y = 3.75(9) + 13.75

y = 47.5

y = 48.

Therefore, the number of hats sold is 48.

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5. Hunter deposited $750 into a certificate of deposit that earns 4.35% annual simple interest for 3
years. How much interest will Hunter earn?

Answers

Answer:

$97.875

Step-by-step explanation:

interest = 750 * 4.35% * 3

= $97.875

1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo

Answers

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

¿Cuál es el signo del resultado de la suma de dos números enteros negativos?

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

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10 points!! Help me out please!!

Answers

To solve this, we need to use our trigonometric equations

  ⇒ look at the diagram attached

Let's examine what the problem wants:

the length of the side adjacent to the 58-degree angle

Let's examine what the problem gives us:

the length of the side opposite to the 58-degree anglethe angle that has a measure of 58-degrees

Let's solve:

  [tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

If f(t) = 2t3 find each value.
f(4)
3[f(t)]

Answers

The value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.

What is polynomia?

To calculate the polynomial expression below, we use the technique below.

From the question,

Given:

f(t) = 2t³.............. Equation 1

To find f(4) we substitute 4 as the value of x in equation 1

f(4) = 2(4³)f(4) = 512.

To find 3[f(t)] we multiply equation 1 by 3

3[f(4)] = 3(2t³) = 6t³

Hence, the value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.

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Find the area of the smallest side of the right
triangle.
A = 169 ft²
A = 144 ft²

Answers

The area of the smallest side of the right triangle is 25 ft².

What is a right-angle triangle?

A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.

Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.

Given that:-

The hypotenuse = 169 ft ²  = 13 ft

The side with area 144 ft²   = 12 ft

Using Pythagoras' identity to find the third side x ( smallest )

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = 5

Thus the area of the smallest side will be calculated as:-

A =  5²

A =  25 ft²

Therefore the area of the smallest side of the right triangle is 25 ft².

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The median of the values:29,24,30,23,28,18,

Answers

Answer:

26

Step-by-step explanation:

18,23,24,28,29,30

(6 in total + 1)/2=3.5.

- the number which is 3.5 is between 24 and 28.

- middle number between these two is 26.

The answer to your question is 26

help help help me please ​

Answers

Answer:

1 and 3/4

Step-by-step explanation:

KCF, Keep Change Flip

7/6 divided by 2/3 becomes 7/6 multiplied by 3/2, which is 21/12

This can be simplified to 7/4, or 1 and 3/4

Last month, a basketball team scored 83, 84, 85, 87, 89, 88, 67, 79, and 81 points in their games. Which data value(s) are outliers? Select all that apply.

Answers

The data value that is an outlier is 67

How to determine the outlier?

The dataset is given as:

83, 84, 85, 87, 89, 88, 67, 79, and 81

To determine the outlier, we select the data values that are relatively far from others

In the above dataset, the data element 67 is far from other data values

Hence, the data value that is an outlier is 67

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