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.
The mistake is in line 2, the parenthesis means multiplication therefore it has to be 3x
Answer:
I cannot see the picture I think its because my chromebook sorry
Step-by-step explanation:
Please use $ signs when discussing US currency.
<span>$152 in 4 days. At that rate how many days will it take him to earn $532
One way to solve this is to set up and solve an equation of ratios:
$152 $532
---------- = ---------
4 days x
2128
Then 152x = 4(532), and x = ---------- = 14. It'll take Seth 14 days to earn $532.
152</span>
