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:
Point A and point B have 11 units between
Step-by-step explanation:
If the distance between 0 and 10 is 10 also known as the absolute value, you just add one more unit because it starts at -1
So 10 + 1 = 11 and because we are using 10 is greater than 1 its positive so the answer is 11
Hope this helps :)
if x = 3
3 > -1, and so you use the x² formula.
Plug in 3 for x
x² = (3)²
Simplify
3² = 3 x 3 = 9
9, or (A), is your answer
hope this helps
I believe that the answer is 120 marbles.<span />