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?

i got this righti got this right

Step-by-step explanation:

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.

density of whale * volume of main show tank

0.000011142* 179503.33=2

If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?

A sphere

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.

sphere sized tank:

4/3*3.14(70^3) = 1,436,026.67

Main tank:

1,436,026.67/4= 359,007 (rounded)

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?

Mock up is 3x smaller

08.06 Module Eight Activity

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.

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.

84,780/4=21,195

V=3.14*r^2*h

3.14*9^2*72

3.14*5832

=18312 (rounded)

Using the same information from #5, what percent of change occurred from the actual tank to the mock-up of the tank?

21984.4% change

-When the salt decreased, so did the density of the water

-you need to add the amount of salt that the water needs in order to get the water back to normal, then observe the whale's behavior

V=3.14r^2h

3.14 *15^2* 120

706.5*120

=84780 for both tanks because the tanks are half of a cylinder. 

...one tank is 42,390

Read more on -

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).