What is 2.7 kg in g. i need a simple answer

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

Jared has three acres to mow it takes 1 hour to mow 1 and 1/2 an acre how long would it take him to finish all his mowing

ololo11 [35]

Answer:

It would take Jared 2 hours to finish mowing 3 acres at that rate.

Step-by-step explanation:

If it takes Jared 1 hour to mow 1 and 1/2 acres of lawn and he has to mow three, then 1 1/2 acres x2= 3 acres and 1 x2= 2 so it would take Jared 2 Hours to mow 3 acres of Lawn

Hope this helps!

7 0

2 years ago

The diameter of a circle is 3 kilometers. What is the area?

lora16 [44]

Answer:

7.068583471 km ^2

Step-by-step explanation:

pi x radius² is area

pi x 1.5² = the answer

3 0

2 years ago

Read 2 more answers

Alicia has five times as many dimes as she has quarters. Combined the dimes and quarters total to $9.75. How many dimes does Ali

olasank [31]

Five dimes and one quarter = .75.
9.75/.75=3.25*4/1=13
there are 13 "5 dimes and 1 quarter"s
so 65 dimes

3 0

2 years ago

jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores

Assoli18 [71]

Yes! 4/5 is .8 and so is 8/10.

5 0

2 years ago