Evaluate "50 decreased by a number" if the number = 30
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You have 3 spheres inside a cylinder like for a can of tennis balls. Notice the radius of the cylinder is 3 cm, the same as the radius of the spheres, so the spheres just fit width wise, and 3 spheres height would be 6 radius lengths or 18, which is the same as the cylinder height, so the three spheres are packed to the best fit.
The volume not occupied by the spheres will be the total cylinder volume take away the three spheres volumes.
The cyinder volume with height h=18 and radius r=3 will be approx..
The volume of 3 spheres with radius r=3 will be
The volume unoccupied by the spheres inside the cylinder is the difference in those two volumes..
508.68 - 339.12 = 169.56 or 170 cubic centimeters
The volume not occupied by the spheres will be the total cylinder volume take away the three spheres volumes.
The cyinder volume with height h=18 and radius r=3 will be approx..
The volume of 3 spheres with radius r=3 will be
The volume unoccupied by the spheres inside the cylinder is the difference in those two volumes..
508.68 - 339.12 = 169.56 or 170 cubic centimeters
The ratio of the frequency of a prime rolled using the first two (ordinary)dice to the frequency of a prime rolled using the unusual die and one ordinary die is
There are a total of 36 equally probable ways the dice can fall
In the first case, primes are achieved for the following results:
- 2 (one way possible),
- 3 (two ways possible),
- 5 (4 ways possible),
- 7 (six ways possible), and
- 11 (2 ways possible.
So primes are achieved in a total of 15 ways.
In the second case, the prime possibilities are
- 3 (one way possible),
- 5 (two ways),
- 7 (3 ways),
- 11 (3 ways),
- 13 (3 ways), and
- 17 (just one way).
The total is 13 ways.
<h3>How to calculate the ratio of the frequency</h3>Therefore
How to calculate the ratio of the frequency is Mathematically given as
Frequency ratio is
For more information on dice,
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