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: 
Step-by-step explanation:
Knowing the information provided in the exercise, you need to find the Least Common Multiple (L.C.M) in order to solve it.
You can follow these steps:
1- You must descompose 2, 5 and 8 into their prime factors:
2- And finally, you must multiply the commons and non commons with the highest exponent:
Therefore, the answer is:
Slope is generally showed by a variable, the variable can be represented by any letter. In this case the variable is represented by x
so the slope is the number that comes before the x, so the slope of this equation is -8
So your answer is A
3x - 7 = 2x - 5<em> add 7 to both sides</em>
3x = 2x + 2 <em>subtract 2x from borh sides</em>
<h3>x = 2</h3>
Check:
L = 3(2) - 7 = 6 - 7 = -1
R = 2(2) - 5 = 4 - 5 = -1
L = R CORRECT! :)
The area of the triangle is 4 units²
<h3>What is the area of a triangle?</h3>
The area of a triangle is the half the base multiplied with the height of that triangle
Area = 1/ 2 × b × h
From the figure given,
base = 7 - 3 = 4 units
height = 4 - 2 = 2 units
Area = 1/ 2 × 4 × 2
Area = 1/ 2 × 8
Area = 4 units²
Thus, the area of the triangle is 4 units²
Learn more about a triangle here:
brainly.com/question/1475130
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