Check plz.
Remi has two cone-shaped containers with the same diameter. He will place the smaller container inside the larger one. Before he does this, he wants to fill the larger container with water so that it will be completely full but won’t spill when he places the smaller container inside. The diameter of both containers is 12 cm. The height of the smaller container is 6 cm, and the height of the larger container is 18 cm.

What volume of water must Remi put in the large container?
Use 3.14 to approximate pi and express your final answer in hundredths.

___cm3
I got 718.01 cm3

Question

Check plz.
Remi has two cone-shaped containers with the same diameter. He will place the smaller container inside the larger one. Before he does this, he wants to fill the larger container with water so that it will be completely full but won’t spill when he places the smaller container inside. The diameter of both containers is 12 cm. The height of the smaller container is 6 cm, and the height of the larger container is 18 cm.
 
What volume of water must Remi put in the large container?
Use 3.14 to approximate pi and express your final answer in hundredths.
 

___cm3
I got 718.01 cm3

anonymous · Answer

attachment

amistre64 · Answer

volume large - volume small

right?

anonymous · Answer

Huh?

amistre64 · Answer

its a simple idea ... what about it is confusing?

anonymous · Answer

It was a little but was I right?

amistre64 · Answer

dunno, im trying to formulate a solution.  would you agree that the required volume is just the volume of the large cone; minus the volume of the small cone?

anonymous · Answer

Idek I just wanted to know if I was right

amistre64 · Answer

i wont know if your right until we know how to approach a solution, are we just guessing at stuff?

amistre64 · Answer

how did you come up with your own solution?

anonymous · Answer

area of base for both are equal
area of base=area of circle=pi times r^2
radius=diameter/2
diameter=14
radius=14/2
radius=7

pi times 7^2
pi times 49
3.14 times 49=153.86

smaller  so 1/3 times 153.86 times 3=smaller cone=153.86 cm^3

larger
so 1/3 times 153.86 times 17=871.873

subtract smaller from larger

871.873-153.86=718.013 cm^3
the volume of water needed is 718.01 cm^3

amistre64 · Answer

good, we were on the right track, let me dbl chk your results

anonymous · Answer

Just out of curiosity how old r u?

amistre64 · Answer

1/3 pi r^2 H - 1/3 pi r^2 h , since they have the same radius we can factor most of this out

1/3 pi r^2 (18 - 6)  is the volume needed

you have an error:  diam = 12, r=6, not 7

36/3 pi (18 - 6)


12(12) pi  = 144pi,  use 3.14 is instructed to get  144(3.14)

I am about 25 years older than my kids :)

anonymous · Answer

452.16 and oh lol just asking

amistre64 · Answer

now we know if your original amount is correct or not ;)  good luck

anonymous · Answer

THXc: