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.
Step-by-step explanation:
let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)
Now,
3x+x=56 (sum of their ages is 56)
or 4x=56
or x=56/4
or x=14
therefore age of samantha=3x=3×14=42
age of jason = x = 14
Answer:
Step-by-step explanation:
.72x+3=0.3(2.4+15)
.72x+3=0.72+4.5=0.72+4.50
.72 x=5.22
Answer:
A and C
Step-by-step explanation:
Answer:
0.5962
Step-by-step explanation:
Given that :
p = 61% = 0.61
q = 1 - p = 1 - 0.61 = 0.39
n = 154 ; x = 93
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)
P(x>= 93) = 0.59619
P(x>= 93) = 0.5962
