Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
Actual mean: 223 pages
Predicted mean / estimate: 225 pages
Explanation below
Step-by-step explanation:
Mean = total amount ÷ # of numbers
155 + 214 + 312 + 198 + 200 + 170 + 250 + 260 + 215 + 256
Add
2,230
# of numbers = 10
2,230 ÷ 10 = 223
The exact mean is 223
If I were to predict the mean, I would say that a good estimation would be around 225, because I see that the highest number in the data set is 312, and the lowest is 155. If 312 is rounded down to 300, and 155 is rounded down to 150, the number exactly in the middle of 300 and 150 is 225.
Actual mean: 223 pages
Predicted mean: 225 pages
Hope this helps :)
Answer:
She gives 16 ounces to her neighbor
Step-by-step explanation:
How much did you use to make sauce
6 * 3/4 = 18/4 =9/2 = 4.5 lbs
That leaves 6-4.5 = 1.5 lbs
She give 2/3 of this to her neighbor
1.5 * 2/3
Changing the decimal to a fraction
3/2 * 2/3 = 1
She gives 1 pound to her neighbor, but we want it in ounces
16 ounces equals 1 pound
She gives 16 ounces to her neighbor
Wats the question?????????
Answer:
Last choice. d.
Step-by-step explanation:
We are given the first term and the sixth term.
The first term is 
.
The sixth them is 
.
Let's solve for the common ratio, r.
Divide both sides by -9:
Take the fifth root of both sides:
So the common ratio is 4.
