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slava [35]
3 years ago
14

Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

≈ 13.98%

Step-by-step explanation:

As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.

4963/5769=0.8602

Then you multiply it by 100 to transform it into percentage

0.8602*100=86.02%

Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

100% - 86.02% = 13.98%

Also you can say that is approximately  14%

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Step-by-step explanation:

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<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
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  • h: height
<h3>To find:</h3>
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<h3>Solution:</h3>
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\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



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