Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
Answer:
Mean-69
Median-73
Mode- There is no mode
Range-36
Step-by-step explanation:
The answer is as follows
x = -3
y = 7
There are a few ways to do this but lets do it the following way.
<span>3x + y = -2
y = -x +4 <--- turn this to standard form
</span>
y = -x + 4
x + y = 4
3x + y = -2
x + y = 4 <---- Times this by -3 to cancel out
3x + y = -2
-3(x + y) = 4 * -3
3x + y = -2
-3x -3y = -12
+ y = -2
-3y = -12
-2y = - 14
-2y / -2 = - 14 / -2
y = 7
Now that we found y we can insert 7 into the y position in one of the equation. For instance
y = -x +4
7 = -x + 4
7 = -x + 4
-4 + 7 = -x
3 = -x
x = -3
