Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
For this case the first thing you should do is find the volume of the sphere.
We have then:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere's radius
Substituting values we have:
V = (4/3) * (3.14) * ((3/2) ^ 3)
V = 14.13 in ^ 3
Answer:
The amount of glitter required to completely fill one glass ornament is:
V = 14.13 in ^ 3
