Question

Need help! Already did the work, just not sure if it's right.

Answer 1

In the spirit of the other challenges, the company has decided to place their pyramid-shaped gum inside a clear glass giant bubble-gum shaped sphere. Each piece of gum has a base measurement of 1 inch and a height of 0.75 inches. The glass sphere container has a diameter of 17.25 inches. How many pieces of Pharaoh Chewing Gum can fit inside the glass sphere?
My answer:
Sphere: Diameter 17.25
V=4/3 (3.14*r³)
4/3 (3.14*8.625³)
4/3(3.14*641.619140625)
4/3 (2014.6841015625)
Volume=2686.24546875
Gum: Base 1 in/ Height .75
V=1/3 (B) (h)
1/3 (1*1*1*1) (.75)
1/3 (.75)
.25
A/B=671 Pieces of gum in the sphere

Answer 2

are they square pyramids?

how did you get (1*1*1*1) for the base ?

Answer 3

Yes they are square pyramids and I thought that you had to multiply each side of the base 4 times (for each side of the square), no?

Answer 4

B is the area of the base , not the perimeter

so it's just 1*1 for a square

Answer 5

Okay, so the Base is still 1, right?

Answer 6

yeah it wont change your final answer

Answer 7

Mkay, do you know if the rest of my work is right?

Answer 8

you have calculated the volume of the sphere correctly
and also the volume of a single gum pyramid

the number of gums that can fit in the sphere should be equal to the
volume of the sphere divided by the volume of a gum

Answer 9

So the last part is wrong?
Would it be: 10744
But that seems like a lot of gum... that's why I din't put this answer down.

Answer 10

you found the volume of the sphere to be 2687.6 cubic inches

you found the volume of one gum to be 0.25 cubic inches=1/4 cubic inches,
ie four gums per cubic inches

the number of gums must four times the volume of the sphere

(i calculate a tiny little bit more than 10744)

Answer 11

[it is a lot of gum, but its a large sphere, and each gum is tiny ]

Answer 12

like a decimal "tiny little bit"? Or just is it still larger?
I keep rounding the numbers so would this be it: 10744.981875

Answer 13

i got 10750.4,

(i used pi=3.14159

Answer 14

Oh that may be where we're are getting different answers because I'm just using 3.14.

Answer 15

Is that wrong? Do I need to use the longer number?

Answer 16

well, it not a big issue, but if you use pi to only 3 significant figures,
then your final answer can only be accurate to 3 significant figures

Answer 17

Okay, so if I were to tell my teacher that I used only 3.14, would she count it correct?

Answer 18

yeah if you have π=pi=3.14

in you working you should be fine,

you'll get10745 gums

but in this case you should have you final answer

1.07 x10^4 gums

because the other digits are not accurate

Answer 19

Okay, thanks!!!!! Are you able to help me with anymore questions or no? And again I already did the work I would just like somone to check it.

Answer 20

or just 10700 gums (to 3 sig figs).

and i sure can help with another question

Answer 21

Okay, I'll close this question and open another.