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:
167.19
14.50 x 8 = 116.00
14.50 + 1.75 = 16.25 per hour overtime
16.25 × 3.15 hour overtime = 51.19
116.00 + 51.19 = 167.19
Step-by-step explanation:
Answer
-11/3>x>7/3
Step-by-step explanation:
|3*7/3+2|=9
|7+2|=9
|9|=9
9=9
therefore, x must be > 7/3
|3*-11/3+2|=9
|-11+2|=9
|-9|=9
9=9
therefore, x must be < -11/3
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
