Answer:
The space left inside the cyclinder =36π(h - 24)
step-by-step explanation:
Radius of sphere = 6cm
Diameter of cylinder = 12cm
Radius of cylinder = d / 2 = 12 /2 = 6cm
Formula for volume of a sphere = 4/3 πr³
Formula for volume of volume of a cylinder = πr²h
r = radius
h = height
The volume of one sphere = 4/3πr³
Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³
But radius of the sphere = 6cm
Volume of the sphere = 4 * π * 6³
Volume of the sphere = 864π
Let the space left in the cylinder = x
The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres
x = πr²h - 4πr³
Note : both radius = 6cm and we can just substitue it
x = πr² (h - 4r)
x = π*6² (h - 4*6)
x = 36π (h - 24)
The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.
I use a bit of a different looking formula.
A(t)=P(1+r/n)^nt
P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)
Plugged in it looks like this:
A(t)=500 (1+ 0.04/1)^1x5
Then I put it into my calculator like this:
0.04/1+ 0.04
Then add one to the above answer:
0.04+1=1.04
Then raise the above answer to the 1x5:
1.04^5=1.2166......
Then multiply the above answer by 500:
1.2166.... x 500=608.3264512
She has $608 after 5 years.
Hope this helps, let me know if you have any questions.
Answer:
b
Step-by-step explanation:
I mean I believe its b it looks like theres three
Answer: 4 dollars/ lbs
Step-by-step explanation:
Tom paid 16 dollars for 4 lbs
16/4=4 dollars/ lbs