Question

Need some Geometry help. will medal and all that crap.

Answer 1

Main Show Tank Calculation:

The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
Holding Tank Calculations:

The holding tanks are congruent in size and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
Density Calculation:

In step 1, you found the volume (in cubic feet) of the main tank. If the maximum density of killer whales per cubic foot is 0.000011142, what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words, and you must show all work and calculations to receive credit.

Answer 2

One sec

Answer 3

Since the formula for cylinders volume is V=πr2h, you would just plug in the the feet and the height.
3.14*15^2*120
3.14*225*120
706.5*120
84,780ft

The volume is 84,780ft for one whole tank, but the tanks are half of a cylinder, so that means that the volume would be half of what the whole would be. One tank volume would be 42,390ft. Now we would multiply that by two to get the volume of both tanks which is 84,780ft. The volume of both tanks are 84,870ft.


Density Calculations
In step 1 you found the volume ( in cubic feet ) of the main tank. If the maximum density of killer whales per cubic feet is 0.000011142 what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words and you must show all your work and calculations to receive credit.

To find the maximum number of killer whales allowed in the main show tank you would have to multiply the volume of the main show tank times the maximum of the killer whales.
0.000011142*179503.33 =2
Density
The stadium is in need of a medical pool to attend to injured or sick whales. The pool will be located adjacent to the holding tanks. Your job is to design a medical pool using a 3-dimensional polyhedral shape you learned about in this module. For safety reasons, the tank can be no more than one-fourth the volume of a holding tank. You will need to submit a 2-dimensional drawing, the dimensions, the volume of your pool, and proof that the pool's volume is no more than one-fourth the volume of a holding tank to your instructor.

Since the medical pool could not be more than one-fourth of the holding tank, now you would have t divide the volume of one holding tank (84,780) by four and that would give you 21,195ft. So now that i have come up with a radius of 9 and a height of 72ft.When you plug in the numbers into the V=πr2h formula.
V=3.14*9^2*72
3.14*81*72
3.14*5832
18312.48ft
The volume of the medical pool is 18,312ft
Reflection Question 1
The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?

The mock-up is about 3 times smaller than the volume.


Main Show Tank
1. The main tank has a radius of 70ft. What is the volume of the quarter-sphered sized tank. Round your answer to the nearest whole number. You must explain your answer using words, and you must show all your work and calculations to receive extra credit.

To find the volume of the quarter sphere sized tank, first you need to find the volume of the sphere.
1. 4/3*3.14(70*70*70) = 1,436,026.67ft

Next you will need to the find the volume of the main show tank by dividing the volume of the sphere by four.
2. 1436026.67/4 = 359,006.6675
Reflection Question 2
Using the same information from #5, what percent of change occurred from the actual tank to the mock-up of the tank?

21,984.44581% of change
Reflection Question 3
If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?

I would describe the shape as a sphere.
Reflection Question 4
Describe the information in the chart using words. What do you think the information shown means? If you were in charge of the killer whale tank, what action might you take after seeing the samples shown above?

1. As the days went by the amount of salt water decreased and the density.
2.If i was in charge I would add the amount of salt that is needed to get back to normal and then i would observe the killer whales toward the decreasing amount of salt.

Answer 4

holy crap im lost

Answer 5

xD well thats you're questions explained answer

Answer 6

haha okay. ill try to go thru it. thank you!