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:
There were written records by studying aircrafts before historians know about the past.
Step-by-step explanation:
Remember
if ab=0, then assume that a and b equal 0
factor out common term
comon term in 6x^2 and 15x is 3x
3x(2x)+3x(5)=0
3x(2x+5)=0
set each to zero
3x=0
x=0
2x+5=0
2x=-5
x=-5/2
x=-5/2 and 0
No of red marbles = 5
Total number of marbles =14
By using probability formula,
P(E)= Number of favorable outcome /
Total number of outcomes
P(E)= 5/14
I hope that was useful ☻
Answer:
x-intercept : (-250, 0)
y-intercept : (0,100)
Step-by-step explanation:
Looking at the line plotted, you can see when and where the blue line intersects with the x-axis and y-axis.
