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:

Question

gabylovesyou · Answer

attachment

gabylovesyou · Answer

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.

gabylovesyou · Answer

@satellite73 @cwrw238

anonymous · Answer

You should divide the volume of the sphere by 4, to get the volume of a 1/4 sphere

gabylovesyou · Answer

volume of sphere is v = 4/3 * pi * r^3 right  ?

anonymous · Answer

Yes

gabylovesyou · Answer

so 

v = 4/3 * 3.14 * 70 ^ 3 = 1.436026 ?

gabylovesyou · Answer

1.436026 / 4 = .3590065 

so that rounded to the nearest whole number is .... ? (idk)

anonymous · Answer

Step 1- V=4/3(pi*70^3) 
Step 2-V=4/3(pi*343000) 
Step 3-V=1372000*pi/3

anonymous · Answer

Step 4-V=1436755/4  
Step 5-359189 feet cubed

anonymous · Answer

So you pretty much had it right :)

gabylovesyou · Answer

ohhhhh and thats the answer ?

gabylovesyou · Answer

359189 ? or do i have to do something else ?

anonymous · Answer

I did the problem using ALL whole numbers, but if you do the problem and add the decimal points you'll come up with this answer: 359006.6675

gabylovesyou · Answer

i just did the math again... how come you get that ? this is what i get... 
V = 4/3 (3.14 * 70^3) 
V = 4/3 (3.14 * 343000) 
V = 4/3 (1077020) 
V = 4/3 * 1077020 
V =

anonymous · Answer

This is what i did:

anonymous · Answer

4/3*3.14(70^3)=1436026.67

anonymous · Answer

Then i took that answer and...

anonymous · Answer

1436026.67/4=359006.6675

gabylovesyou · Answer

http://www.wolframalpha.com/input/?i=4%2F3*3.14%2870%5E3%29

anonymous · Answer

The answer that site gave you was the answer in scientific notation. Once you solve that ( http://www.wolframalpha.com/input/?i=0.1436026+*+10%5E7++) You get 1436026. And you take that answer and divide it by 4 to get your answer of 359006.6

gabylovesyou · Answer

ohhhhhh ok thanks so much!! ;D

anonymous · Answer

No problem! :)

anonymous · Answer

If you need anymore help with anything else. Just ask and i'll help ;)

gabylovesyou · Answer

yay thanks :)