The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Answer:
600,000
Step-by-step explanation:
around 620,000 so 600000 is the closest answer
They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
Then apply the scale factor of 5:6:
Set the denominators equal:
So we see that the perimeter of GHJ is 35.
Answer:
Step-by-step explanation:
<u>Given system:</u>
- 2x - y = - 2
- 15x - 2y = - 7
<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>
- -2(2x - y) + 15x - 2y = - 2(- 2) - 7
- -4x + 2y + 15x - 2y = 4 - 7
- 11x = - 3
- x = - 3/11
<u>Find the value of y:</u>
- 2( - 3/11) - y = - 2
- -6/11 - y = - 2
- y = 2 - 6/11
- y = 1/11
<u>Solution is:</u>
- <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
X values are increasing by 2
y values are increasing by 4
Mark is correct
