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Triss [41]
3 years ago
5

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

a diameter of 4 inches hold if it is the same height as the paper cup?
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

<u><em>Taking the value </em></u>\pi<u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times 2^2\times \frac{h}{3}

6=3.14\times 4\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

18=12.56h

<em>Dividing both sides by 12.56 we get:</em>

1.43=h

h=1.43\ inches.

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

Volume =\pi r^2h

Volume=3.14\times 2^2\times 1.43

Volume=3.14\times 4\times 1.43

Volume=17.96\ oz.

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

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3 years ago
Can you subtract 8 tenths from 1 tenth?​
Rudiy27

Answer:

Not if you want it to be a positive number. You can but it will be a negative.

Step-by-step explanation:

3 0
3 years ago
Koto’s average velocity along her route was 4. 5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters ea
Lostsunrise [7]

The time taken for her trip is 3 hours.

<h3>Given that</h3>

Koto’s average velocity along her route was 4. 5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3>We have to determine</h3>

What was the time of her trip?

<h3>According to the question</h3>

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3 /><h3>The calculation of such a trip of Koto can be done by applying the known formula of Time when the Speed is multiplied by Distance to compute the actual time of the trip.</h3>

The formula to calculate the time for her trip is;

\rm Speed = \dfrac{ Distance}{Time}\\&#10;\\&#10;Time = \dfrac{Distance}{Speed}\\&#10;\\&#10;

  • Using the formula above, the commute in each direction is added as 45000 meters or 45 kilometers.

  • If Koto's average speed is 4.5 meters per second, then she travels roughly 270 meters in one minute.

Substitute all the values in the formula;

\rm\ Time = \dfrac{Distance}{Speed}\\\\  Time = \dfrac{45000}{270}\\&#10;\\&#10;Time =166.7

Converting minutes into hours,

\rm Hours = \dfrac{Minute}{60}\\&#10;\\&#10;Hours = \dfrac{166.7}{60}\\&#10;\\&#10;Hours = 2.77 \\&#10;\\&#10;= 3\  hours

Hence, the time taken for her trip is 3 hours.

To know more about Time and Distance click the link given below.

brainly.com/question/4433818

5 0
2 years ago
How do you find the rate of change
olga_2 [115]
If it's for a graph then I believe you just find the slope which you can do by taking two points and plugging them into this equation y-y
/
X-X

Example: (2, 4) and (6, 7) the first number is always x and the second is always y so if you plug those in the equation would look like this....

4-7
/
2-6

That would end up being
3
- ---- aka the rate of change
4


P.s. The slash and the four dotted lines together means division. Hope this helps
6 0
3 years ago
3p²q - 6pq² help me please .​
Ann [662]

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

7 0
3 years ago
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