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How many spheres with a radius of 5 cm can you make with that amount of clay?

2007-05-08 04:21:00 · 9 answers · asked by DENNIS 3 in Science & Mathematics Mathematics

9 answers

3 spheres

2007-05-08 04:23:22 · answer #1 · answered by Anonymous · 0 0

Vol of sphere = 4/3 Pi x R^3
= 4/3 x 3.14 x 5 x 5 x 5
=522

Vol of cube = LWH
= 10x10x10
=1000
there are 2 cubes
= 2000 cm^3

There is only enough clay to make 3 spheres
2000/522= 3 with some left over

2007-05-08 04:44:41 · answer #2 · answered by ignoramus 7 · 0 0

the volume of clay in the two cubes=2*10^3=2000 cm^3
volume of a sphere of radius5cm=(4/3)pi r^3=(4/3)pi* 5^3=
500/3 *pi=523.60 cm^3
the required number of spheres=2000/523.60=3.82
i.e only three complete spheres and some clay left over.

2007-05-08 04:34:57 · answer #3 · answered by Anonymous · 0 0

Your total volume is 2*10^3 = 2000 cm^3

One sphere has volume 4/3 * pi * 5^3

So just divide the total and round DOWN to the nearest whole number.

2007-05-08 04:26:14 · answer #4 · answered by Dr D 7 · 0 0

volume of one cube = 10^3 = 1000 cm^3
volume of 2 cubes = 2000 cm^3

Volume of a sphere with r = 5cm = (4/3)*pi*r^3 = 523.6 cm^3

2000 / 523.6 = 3.82

Therefore, you can make 3 spheres with r=5 and you will be left with 429.2 cm^3 of clay.

Please do not leave it in my garden.

2007-05-08 04:29:29 · answer #5 · answered by Raymond 7 · 0 0

The volume of the spheres will be 4 pi r^3/3, or 523.6 cc. You have 2000 cc of material. So you can make three, with almost enough material left over to make another one.

2007-05-08 04:27:41 · answer #6 · answered by Anonymous · 0 0

If you want the answer in full spheres. 3 spheres

2007-05-08 04:32:14 · answer #7 · answered by jon r 2 · 1 0

it depends on the circumfrence of the eugenina adapterXtimes X times X equals a good time, do your own homework faulkernat

2016-05-18 01:55:53 · answer #8 · answered by mindy 3 · 0 0

Do your own homework.

2007-05-08 04:28:28 · answer #9 · answered by Anonymous · 0 1

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