What is the volume of the largest sphere that can be made inside the cube whose volume is 216m3?

hi Phyllis.
this link will tell you how.
How to Calculate the Volume of Sphere
if you need more help go to this link.
How do you measure ball shape Google Search

volume of 10" sphere is 1000 ties that of a 1" sphere (volume scales as the cube of linear dimension). The close packed fill-factor for spheres is 0.74 (see eg http://en.wikipedia.org/wiki/Close-packing_of_spheres). Thus you will get LESS THAN 740 1" spheres into a 10" sphere (quick calculation neglecting edge effects, which is why 740 is only a bound, not the actual number)

5.August.2014

Circumference of a Circle: 2 x pi x radius - OR - pi x diameter,

or if you need some sphere calculations?

Sphere Surface Area: 4 X pi X radius squared OR
pi X diameter squared Sphere Volume: 4/3 X pi X radius cubed OR
( pi X diameter cubed ) / 6
By the way.......... "pi" = 3.1415926536

3 3rd pie * the radius cubed for a sphere

3 3rd pie * the radius squared x the height squared for a cone

3 3rd pie * the perimeter squared x the peak squared for a pyramid

Determine the volume of the cube

Which is calculated by:
length x width x depth

then subtract the volume of the sphere's

Which is calculated by:
Number of spheres multiplied by (4/3) * pi * radius3

To figure out how many sphere's you can fit in the cube

Divide the width of the cube by the diameter of the sphere then cube that number
(try it with a larger diameter sphere for example 6" sphere and sketch it out, you will see why)

0.01" Sphere-Total Volume

12"/0.01"=1200

1200^3 = 1.728 E 9 = Number of sphere's in the cube

1.728 E 9 x (4/3) * pi * 0.0053=904.32 cubic inches

Volume of Cube = 1728

Remaining Volume = 1728-904.32 = 823.68

You should be able to figure out how to do the other one.

Almost exactly the way it's written in the book.

In the LineIO mode press
3 SHIFT [xth-root] 5 0 0 0 * 3 / ( 4 * SHIFT [pi] ) ) =

In the MathIO mode press
SHIFT [xth-root] 3 right-arrow 5 0 0 0 * 3 / ( 4 * SHIFT [pi]) =

xth-root is the shifted function of the key just below and right of the big round cursor pad.
* is the multiply key
/ is the divide key
pi is the shifted function of the x10^x key in the middle of the bottom row

BTW there's no "square root" in this problem. There's a "cube root" or "third root". Square root is the second root.

1331 cubic centimeters (just about 1 and 1/3 litres)

Let the sides of the cubes be a and b,

the length of the diagonal of the cube whose side is b is given as square root(3)*b

according to the given question,

a=square root(3)*b

the volume of the cube with side a is given as

v1=a^3=(square root(3)*b)^3

and the volume of the cube with side b is

v2=b^3

then their ratio of volumes is given as

v1/v2=3*square root(3)*b^3/b^3=3*square root(3)

i.e v1:v2=3*square root(3):1

Next qwasthun pwease :D

If you need further help, reach me via phone at https://www.6ya.com/expert/dan_73bbd84fe1d95b61

If this box is a cube, and each side is 15cm long, then each side has an area of 225 square centimeters. Since a cube has 6 sides, your cube's total surface area is 1350 square centimeters. This was a fun change from the normal question... but I don't get what you're trying to do. Thanks for the question.

find the volume of the largest cylinder with circular base that can be incribed in a cube whose volume is 27cu.in?