A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a ki

Question

4 years ago

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A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a ki

ller whale show will take place. The following design is already under construction and will house the whales that perform in the show:
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.

Mathematics

2 answers:

Sergeeva-Olga [200] · Answer 1 · 2021-11-25T12:44:12+03:00

Hello there.

<span>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:

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.

</span>359,189 cubic feet

leva [86] · Answer 2 · 2021-11-25T11:44:03+03:00

The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)

Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet