The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made 1/8 of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?

Question

nikki_skellington · Answer

attachment

nikki_skellington · Answer

would it be 9000

3mar · Answer

can you remember me with original diameters and height?

nikki_skellington · Answer

its 72000pi for the main show tank

3mar · Answer

I mean original dimensions?

nikki_skellington · Answer

ohhh its 60 for radius

3mar · Answer

of sphere

nikki_skellington · Answer

only remember 60...unless im stupid

3mar · Answer

Please, don't say that.
If you were stupid, we would not continue with me until that stage of understanding!
Tell your brother that!
;)

nikki_skellington · Answer

i dont know sometimes i feel like i am, but thanks lol :)

3mar · Answer

anyway

nikki_skellington · Answer

so what do i do?

3mar · Answer

for the fist quarter sphere:
$$V=\frac{ 1 }{ 3 }\pi(\frac{ r }{ 8 })^3=\frac{ 1 }{ 3 }\pi(\frac{ 60 }{ 8 })^3=441.786$$

nikki_skellington · Answer

ok and i divide that by 1/8 or..

3mar · Answer

no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no no

nikki_skellington · Answer

lol ok

nikki_skellington · Answer

then wut?

3mar · Answer

"Each dimension will be made 1/8 of the original dimension "
not the volume

nikki_skellington · Answer

ohhhhhh ok

3mar · Answer

I know that these information may be over your thinknig but you grow faster by this ;)

nikki_skellington · Answer

true :)

3mar · Answer

so wake up him
he slept a lot
haha

nikki_skellington · Answer

Haha ikr

3mar · Answer

"ikr"??

nikki_skellington · Answer

oops it means i know right its just a slang

nikki_skellington · Answer

so is 441.786 the answer or is their more

3mar · Answer

this is just for sphere
and for the cylindrical show tanks:
$$V=\pi r^2.h=\pi (\frac{ 30 }{ 8 })^2.(\frac{ 110 }{ 8 })=607.4564$$

3mar · Answer

So we add the quarter sphere to the two halves cylindrical tanks, we get the final result
=607.45+441.786=1049.24

nikki_skellington · Answer

Thank you soooo much! i got one more question tho its super easy

3mar · Answer

do you know how to use medals?

nikki_skellington · Answer

yea

3mar · Answer

Good job!
You know a lot!
Of course your parents are happy from you!