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.
To find the hypotenuse of the triangle
you use the length of the legs
Plug it into the Pythagorean Theorem
so
is one of the legs
and
is the other leg
then
is the hypothenuse
You can find the area of a triangular prism by putting it into a bet and finding the area of all sides then adding them together
Answer is attached ! Hope it helps
<u>Answer:</u>
The correct answer option is 43%.
<u>Step-by-step explanation:</u>
We are given that 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair.
We are to find the probability of a student getting selected will have dark hair with blue eyes.
P(D|B) = P(D∩B) / P(B)
Substituting the given values in it to get:
P(D|B) = 0.3 / 0.7 = 0.428
Rounding it to the nearest whole percent we get:
0.428 × 100 = 42.8% ≈ 43%
