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2 years ago

A rainwater collection system uses a cylindrical storage tank with a diameter of

Mathematics

2 answers:

elixir [45]2 years ago

6 0

Answer:

157079.6

Step-by-step explanation the formula to find volume of a cylinder is pi radius squared(half of diameter) times height.

ozzi2 years ago

4 0

Answer:

157,080 cubic centimeters.

Step-by-step explanation:

We have been given that a rainwater collection system uses a cylindrical storage tank with a diameter of 50 centimeters and a height of 80 centimeters. We are asked to find the volume of water.

We know that volume of water will be equal to volume of tank. To find the volume of tank, we will use volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

We know that diameter is two times radius, so radius of cylinder would be half of 50 cm, that is 25 cm.

$\text{Volume of cylinder}=\pi (\text{25 cm})^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 625\text{ cm}^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 50,000\text{ cm}^3$

$\text{Volume of cylinder}=157,079.632679\text{ cm}^3$

$\text{Volume of cylinder}\approx 157,080\text{ cm}^3$

Therefore, the volume of water is 157,080 cubic centimeters.

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Choose the number pair that has digits of 4 that differ in place by a factor of 1000. 4 A. 49,823 and 81,540 B. 83,419 and 46,85

Ne4ueva [31]

Answer:

The correct option is D) 47,063 and 54,722.

Step-by-step explanation:

Consider the provided information.

Here we need to find the number pair that has digits of 4 that differ in place by a factor of 1000.

Now consider the option A) 49,823 and 81,540

The place value of 4 in 49,823 and 81,540 is 40,000 and 40 respectively.

So the difference=40,000-40=39960 which is not a multiple of 1000.

Consider the option B) 83,419 and 46,859

The place value of 4 in 83,419 and 46,859 is 400 and 40,000 respectively.

So the difference=40,000-400=39600 which is not a multiple of 1000.

Consider the option C) 54,890 and 81,745

The place value of 4 in 54,890 and 81,745 is 4000 and 40 respectively.

So the difference=4000-40=3960 which is not a multiple of 1000.

Consider the option D) 47,063 and 54,722

The place value of 4 in 47,063 and 54,722 is 40,000 and 4000 respectively.

So the difference=40000-4000=36000 which is a multiple of 1000.

Hence, the correct option is D) 47,063 and 54,722.

3 0

2 years ago

It costs 480 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400 how would you calculate the increase

Umnica [9.8K]

You could write a set of equations or use the interest formula, A(t)=P(1+r/n)^nt
where p equals the principal amount, r equals the rate/ percentage of interest, n equals the compounding periods and t equals time

3 0

2 years ago

Read 2 more answers

ABCD ~ EFGH<br> z=?<br> Please help me!!!

iragen [17]

Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar, then corresponding angles are congruent, thus

∠H = ∠D, that is

z = 110°

5 0

2 years ago

The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time

Crank

Printer A
y = 14x

Printer B
Time(min) | 3 | 5 | 8 | 12 |
Pages printed | 48 | 80 | 128 | 192 |

Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.

The printer that prints at a faster rate is printer B.

8 0

2 years ago

Read 2 more answers

29) Adam’s sister wants to watch her intake of fat per day. Here is a guideline of the recommended daily allowances. Typical val

ziro4ka [17]

Basically all the information in this problem is useless. They included all those numbers to confuse you. If you read throughly you can see that all you need to know is that Adam's sister can only have 70 grams of fat each day and that her dinner will have 48 grams of fat.

To figure this out I use this formula all the time to figure out percentages.
is/of=x/100
Your trying to figure out what is 48 percent of 70 because that's how much Adam's sister is going to eat at dinner. So your is would be 48 and your of is 70. When you substitute those numbers your formula becomes 48/70=x/100. Now you cross multiply and get 70x=4800.All that's left is to divide 70 on both sides. Which gives you 68.57.The final answer is 69 percent.

8 0

2 years ago