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MA_775_DIABLO [31]

2 years ago

13

What is the volume of the cylinder below? (Will mark brainliest)

1 answer:

riadik2000 [5.3K]2 years ago

8 0

Answer:

to find the volume will apply this formula

(pie)3.141592654 × radius square × height.

so 3.141592654 × 324 × 12
ans 12214.51224 or 3888pie
the picture is wrong

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

1 year ago

1.) Write an equation of the line that passes through the point (3,-2) and is

GarryVolchara [31]

Answer:

y = 2x - 8

Step-by-step explanation:

8 0

2 years ago

-24=2(x-4) What's X?

k0ka [10]

<span>-24=2(x-4)
Use distributive property
-24=2x-8
Add 8 to both sides
-16=2x
Divide 2 on both sides
Final Answer: -8=x</span>

6 0

2 years ago

Read 2 more answers

PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)

Volgvan

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3x = 4 ( add 3x to both sides )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 3x - 3 ← equation in slope- intercept form

8 0

2 years ago

a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or

elixir [45]

Answer: 21

Step-by-step explanation:

7 0

2 years ago