Ping pong ball volume the first is to find the volume of the pool. To find the volume of the pool, simply multiply the length by the width by the height in inches to find the volume in cubic inches.
How to find how many ping pong balls fill a space:
Determining how many ping pong balls will fill a swimming pool involves a few simple math challenges.
Find the volume of a pool:
Ping pong ball volume the first is to find the volume of the pool. To find the volume of the pool, simply multiply the length by the width by the height in inches to find the volume in cubic inches.
For round pools multiply 3.14159 by the diameter of the pool, then divide by 2 to find the area. Multiply the area by the depth in inches to find the volume in cubic inches. Use our volume calculator to find the volume of other sizes.
Find the volume of a ping pong ball:
A regulation ping pong ball has a diameter of 40 millimeters. To find the volume, we can use the volume formula for a sphere, which is 4/3πr3.
Area = (4 ÷ 3) × π × r3
Volume = (4 ÷ 3) × 3.14159 × 203
Volume = (4 ÷ 3) × 3.14159 × 8,000
Volume = 33,510
Now, convert from cubic millimeters to cubic inches, which can be done by multiplying cubic millimeters by .000061024.
Cubic inches = 33,510 × .000061024
Cubic inches = 2.045
Ping pong ball volume [Calculate]
Find the density of the ping pong ball:
Correctly solving this problem requires determining the maximum concentration of ping pong balls in a space. This is a necessary part of the problem because ping pong balls are round, which means there will inevitably be a void where the round balls cannot fill between them.
assuming that the ping pong balls are placed in a fill pattern of maximum density, the formula for finding density is π ÷ (3 × √3), which is approximately equal to .74048.
Put it all together:
Given the volume of the swimming pool, the volume of the ping pong balls, and the maximum ball density, find the number of ping pong balls that can fit in a pool using the formula pool volume ÷ ball volume × fill density.
Ball = pool volume ÷ volume of ball × density
Force = pool volume ÷ 2.045 × .74048
Ping pong ball volume [Calculate]
Volume of a sphere:
Note that 4/3 is a fraction and pi is a numerical constant. This means that the formula can be roughly simplified to the following:
Calculating the radius of a sphere from its volume:
By rearranging the formula for the volume of a sphere, it is possible to find the radius of a sphere with a known volume. The following formula is used to calculate the radius of a sphere:
Again, 3, 4, and pi are constants. The formula for the radius of a sphere can be simplified using the following approximate formula:
The volume of a sphere can be calculated using the formula:
V = 4/3 πr³,
where V is the volume,
he volume of a sphere is a measure of the amount of space it occupies and is often used to calculate the volume of containers and other shapes.
To find the volume of a sphere, first measure the radius of the sphere. The radius is the center of a sphere. Radius can be measured with a tape. Once the radius is known, the formula for calculating the volume of a sphere can be used. If the radius is given in a unit other than meters, it should be converted to meters before calculating the volume.
For example, if the radius of a sphere is 6 cm, the volume of the sphere will be:
V = (4/3) × π × (6 cm)³ V = (4/3) × π × 216 cm³ V ≈ 904.3 cm³
Therefore, a sphere of radius 6 cm has a volume of about 904.3 cubic centimeters (cm³).