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:
y = 5, -4
Step-by-step explanation:
To solve proportions you cross-multiply.
Now that we have 8 = y^2 - y - 12, we must make the entire trinomial equal to 0 by subtracting 8 from both sides.
y^2 - y - 20 = 0
Factor the trinomial.
(y - 5)(y + 4) = 0
Make both factors equal to 0 to solve for both values of y.
- y - 5 = 0 --> y = 5
- y + 4 = 0 --> y = -4
y = 5, -4
Answer:
x=3
y=5
Step-by-step explanation:
x+5y=28 (i)
-x-2y=-13. (ii)
add equation 2 from equation 1
x+5y=28
-x-2y=-13
3y=15
y=5
put the value of y in equation 1
x+5y=28
x+5*5=28
x+25=28
x=28-25
x=3
If k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;
This week
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28
Answer $28
Answer:
300 yards west of the library. The school is 200 yards east
Step-by-step explanation:
