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4 years ago

Can someone please help me finish this

Mathematics

1 answer:

Soloha48 [4]4 years ago

3 0

Answer:

1/9

Step-by-step explanation:

Look at the graph and make a fraction :)

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The mass of the cylinder is 50000 g find the density of the cylinder to the nearest tenth

vichka [17]

Please consider the diagram of cylinder.

We have been given that the mass of the cylinder is 50000 g. We are asked to find the density of the cylinder.

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Let us find the volume of our given cylinder.

$V=\pi r^2 h$ , where

r = Radius,

h = Height.

We know that radius is half the diameter, so radius of given cylinder would be $\frac{28}{2}=14$ mm.

$V=\pi\cdot(14 \text{ mm})^2\cdot 30\text{ mm}$

$V=\pi\cdot 196\text{ mm}^2\cdot 30\text{ mm}$

$V=\pi\cdot 5880\text{ mm}^3$

$V=18472.5648031\text{ mm}^3$

$\text{Density}=\frac{50000\text{ g}}{18472.5648031\text{ mm}^3}$

$\text{Density}=2.7067167192510906\cdot \frac{\text{g}}{\text{ mm}^3}$

$\text{Density}\approx2.7\frac{\text{g}}{\text{ mm}^3}$

Therefore, the density of the cylinder is approximately 2.7 gram per cubic mm.

6 0

3 years ago

A) what is the simplified product of seven-fourths divided by eight-fifths as an improper fraction

Alex73 [517]

Answer:

First were going to put our numbers in perspective.

$\frac{7}{4}$ ÷ $\frac{8}{5}$

But to find the improper fraction, we have to cross multiply these numbers.

$\frac{7}{4}$ × $\frac{8}{5}$

7 x 5 = 35. 

4 x 8 = 32.

Now we have our improper fraction is $\frac{35}{32}$

To turn our improper fraction into a mixed number, we will use division.

We know that the 32 can only go into 35 one time. We also know that the bottom number always stays the same. So our equation will look somewhat like this.

$1\frac{?}{32}$

Now to fine the top number we will have to subtract 35 from 32 because we already know that 32 can go into 35 one time, so 35 - 32 = 3. So are mixed number will look like this.

$1\frac{3}{32}$