A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a killer whale show will take place. The following design is already under construction and will house the whales that perform in the show:

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##### 1 Attachment

- sebastiangonzagonza

Main Show Tank Calculation:
The main tank has a radius of 70 feet. What is the volume of the quarter-sphere 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.

- sebastiangonzagonza

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.

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- sebastiangonzagonza

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.

- sebastiangonzagonza

if someone can please help me with this it would be great! its the last assignment that i have for my geometry course

- mathmate

|dw:1439823988121:dw|
@Sebastiangonzagonza
Can you check the wording of the question? I do not visualize the set-up that matches both the plan and the descriptions.

- mathmate

Also, when you provide density, please make sure units are included:
"density of killer whales per cubic foot is 0.000011142"
does not say much if the mass/weight measurement is not mentioned.
An aquatic animal has a density around that of water in order to float or submerge.
Water weighs 62.4 lb/cubic foot, or 0.0279 tonnes/cubic foot. So it's not clear what the given density unit would be.

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