Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:
Where
This gives:
Answer:
3,847.40376
Step-by-step explanation:
Volume of a sphere=
4/3π(11)³=5,575.27976
Volume of a cylinder=
π(5)²(22)=1,727.876
Total volume=
5,575.27976-1,727.876=3,847.40376
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
The circumference is 81.68 mm. C= 2pi(r)
