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3 years ago

Use the formula circumference = 2×π× radius, where π is approximately 3.14, to answer the question

Mathematics

2 answers:

liraira [26]3 years ago

6 0

Answer:

The correct answer is C. 31.4

Step-by-step explanation:

Mila [183]3 years ago

6 0

The first person is right

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The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

jek_recluse [69]

The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

Thus, the side length of the cube is $8\sqrt{3}$ cm.

So, the height of the cylinder with maximum volume will be $h=8\sqrt{3}$ cm and the diameter will be $d=8\sqrt{3}$ cm i.e. the radius will be $r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}$ cm.

So, using the above formula for the volume of a cylinder, we get

$V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3$ .

Therefore, the biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

To know more about volume, refer: brainly.com/question/1972490

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4 0

2 years ago

Read 2 more answers

Compare the graph of g(x)=6x−5 to the graph of f(x)=6x

KiRa [710]

Answer:

Step-by-step explanation:

Here, we want to compare the graph of g(x) and f(x)

Looking at the given equations, the difference between the two is that we have 5 subtracted from one of the equations

What this means is that we are moving down 5 units away from the graph of f(x) to get the graph of g(x)

Thus, option D is the correct answer

4 0

3 years ago

This month the Middle School Media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each

EastWind [94]

Answer:

25 to the power of 3.

Step-by-step explanation:

we got 25 schools ordering newspapers for 25 classes of 25 kids. that's 25x25x25. it wants the number of pages total, and since there's 25 pages in each newspaper we add another 25. so it's 25x25x25x25, also known as 25 to the power of 3.

5 0

3 years ago

HELP PLEASE

Nataly [62]

I THINK THE ANSWER WOULD BE C

3 0

4 years ago

Pls help me!!! And thank youuuuu

abruzzese [7]

Answer:

264

Step-by-step explanation: