0.566666 as a fraction simplest form

A cylinder has a radius of 4.5 inches and a height of 12 inches. What is the volume of the cylinder? Use 3.14 for π and round yo

andrey2020 [161]

Answer:

The correct answer is option (A) 763 in³.

Step-by-step explanation:

As per given question we have provided that :

$\red\star$ Radius of cylinder = 4.5 in
$\red\star$ Height of cylinder = 12 in

Here's the required formula to find the volume of cylinder :

$\longrightarrow{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}$

$\pink\star$ V = Volume
$\pink\star$ π = 3.14
$\pink\star$ r = radius
$\pink\star$ h = height

Substituting all the given values in the formula to find the volume of cylinder :

$\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}$

$\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5)}^{2}12}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5 \times 4.5)}12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14(20.25)12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14 \times 20.25 \times 12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 63.58\times 12}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 762.96}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 763 }}}$

$\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} \approx 763 \: {in}^{3}}}}}}$

Hence, the volume of cylinder is 763 in³.

$\rule{300}{2.5}$

4 0

3 years ago

A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope

Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be $x$ .

As per the given statement:

Square of the number ( $x^{2}$ ) is 84 more than five times of the number ( $5x+84$ ).

Writing in the equation form:

$x^{2} =5x+84$

To find:

All the numbers for which above equation holds true.

Solution:

$x^{2} =5x+84$

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of $x$ is 2) so it will have 2 solutions i.e. 2 values of $x$ for which the above equation will hold true.

$x^{2} -5x-84=0$

Let us factorize the equation.

$\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }$

So, the numbers for which the given property hold true are 12 and -7.

8 0

3 years ago

If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it no

lapo4ka [179]

Answer:

The time now is 7 pm

Step-by-step explanation:

Suppose that now is the time T.

We know that:

"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".

Then:

if we define midnight as 12, and we assume that T is in the pm range.

Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))

With this in mind, we can write the problem as:

12 - (T + 4) = (1/4)*( 12 - (T + 1))

Now we can solve this for T.

12 - T - 4 = (1/4)*(12 - T - 1)

8 - T = (1/4)*(11 - T)

4*(8 - T) = 11 - T

32 - 4*T = 11 - T

32 - 11 = -T + 4*T

21 = 3*T

21/3 = T

7 = T

Then T = 7 pm

The time now is 7 pm

7 0

3 years ago

I solve kinda a bit but its hard (Algebra 2)

melisa1 [442]

Answer:

x=9

Step-by-step explanation:

The goal is to combine our knowledge of geometry area and algebra skills to solve this problems.

We know area of rectangle is

$l \times w$

where l is the length and w is the width. We know that one side is 3 less than the other side. We can use L or W but let use L. Let x replace L

One side is x, while the other side is

$x - 3$

Both multiply to 54.

$x(x - 3) = 54$

${x}^{2} - 3x = 54$

${x}^{2} - 3x - 54 = 0$

$(x - 9)(x + 6)$

$x = 9$

or

$x = - 6$

Distance. is positive so x=9

8 0

3 years ago

Are these answers correct? also is there any work to be shown?

vekshin1

Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.

Hope this helps! Brainliest it if it does!

7 0

3 years ago