Geometry Help please? 3-D Figures and Volume. Specifics: Sphere, Percentage. If ANYONE could help w/ last question on bottom of the thread.

Question

kewlgeek555 · Answer

And just so you know, the volume of the main show tank is approximately 359007. The radius of this sphere was 70. But the volume of this was only a quarter of the whole sphere. If that make sense.

wolf1728 · Answer

Let's start from the beginning:
radius = 70
volume = 1,436,755.04

radius = 11.66 (one sixth of 70)
volume = 6,651.64

Agreed?

irishboy123 · Answer

note that $216 = 6^3$

imagine whatever shape you are shrinking or expanding is enclosed in a cube into which the "killer whale stadium main show tank" or whatever just about fits

if you scale up the cube, you scale up everything else pro rata.

thing big picture, don't get into the minutae until you need to.

kewlgeek555 · Answer

Sorry for the late reply @wolf1728 , I was actually working it out to see if we got the same answers, just in case. I actually got a volume of 1436026.67 for the radius of 70, since I rounded pi to 3.14. I also got a volume of 6636.88 for the radius of 11.66. 

Are the numbers different because I am rounding pi?

kewlgeek555 · Answer

@IrishBoy123 , would that mean that the mock-up would be 3 times smaller?

wolf1728 · Answer

The differences are due to the rounding of pi.
What makes you think the mock-up would be 3 times smaller?
It is 1/6 the radius, and therefore would be 216 times smaller in volume.

kewlgeek555 · Answer

Okay, that's what I thought! And I don't know, I didn't really get what IrishBoy was trying to explain. So that means that I was correct?

wolf1728 · Answer

All I know is that the mock-up shoe be 1/6 the radius and (1/216) of the volume.

kewlgeek555 · Answer

So that would mean the radius is 6 times smaller and the actual mock-up is 216 times smaller. Okay, so I guess I did calculate it correctly. Thank you so much. So, I have just one more question relating to all this. How would I know the percentage of the main show tank? For example, if I was trying to find this: The volume of the actual tank is _____% of the mock-up of the tank.