Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
Answer:
Its volume is 2 times the original volume.
Step-by-step explanation:
It cant be the first 2 because you are making it bigger, not smaller. and it cant be the last one because you are only doubling one of the parts.
Answer:
This series is convergent
(A)
Step-by-step explanation:
We are given a series
Firstly, we will find nth term
So, numerator is

So, denominator is

so, nth term will be

now, we can use ratio test



Since, denominator has two n terms
so, we get

So, this series is convergent
0.0943 then .9043 then .9403. Hope that helps