The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.
What is the height of the cylinder?
O 2 units
O 4 units
O 6 units
O 8 units

Answers

Answer 1

Correct question:

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Answer:

6 units

Step-by-step explanation:

Let, radius, r = x

Height, h = 3x

Volume, V = 24π

Volume of cylinder = =πr²h

24π = π * x² * 3x

24π = π* 3x³

24 = 3x³

24 / 3= x³

8 = x³

x = 2

Height, h = 3x

h = 3(2) = 6 units


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The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?

Answers

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

3. Seleccione la gráfica correspondiente a la función de la forma Y=mX , encerrando en una circunferencia el literal correcto:
1)

2)


3)

4)

Answers

Answer:

La respuesta esta abajo

Step-by-step explanation:

La pregunta no está completa porque no contiene gráficos, pero te mostraré cómo responderla.

La ecuación de un gráfico de línea recta viene dada por:

y = mx + b; donde y y x son variables, m es la pendiente de la gráfica y b es la intersección en y (que es el valor de y cuando x es 0)

Dado que la ecuación de la gráfica es y = mx, comparando con la ecuación de una línea recta (y = mx + b), podemos concluir que la gráfica con una ecuación y = mx, tiene una pendiente de my una intersección con y de 0.

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Which is an equation for the inverse of y = 4x – 2?
o
O y = x + 2
Oy=x-2
4
4x + 2
y =
4
RE
O y=-2x + 4

Answers

Answer:

[tex]y=\frac{x+2}{4}[/tex]

Step-by-step explanation:

First, switch the x and the y

[tex]x=4y-2[/tex]

Then add 2 to each side

[tex]x+2=4y[/tex]

Divide 4 to each side

[tex]\frac{x+2}{4}=y[/tex]

The inverse equation of [tex]x=4y-2[/tex] is [tex]y=\frac{x+2}{4}[/tex]

The equation for the inverse of y = 4x - 2 is:

y = (x + 2) / 4

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the equation for the inverse of y = 4x - 2, we can follow these steps:

Step 1:

Replace y with x and x with y.

x = 4y - 2

Step 2:

Solve for y.

x + 2 = 4y

y = (x + 2) / 4

Step 3:

Write the equation for the inverse.

The inverse of y = 4x - 2 is:

x = (y + 2) / 4

or

y = 4x - 2 can be rewritten as x = (y + 2)/4.

Therefore,

The equation for the inverse of y = 4x - 2 is:

y = (x + 2) / 4

Learn more about functions here:

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Step-by-step explanation:

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ect the correct answer.
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Step-by-step explanation:


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Step-by-step explanation:

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