9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
Answer:
X is 3 units.
Step-by-step explanation:
Volume of prism is cross sectional area multiplied by length. So 1/2 ×2× x ×2 into 3x, which is equal to 6x^2. So, 6x^2=54. Therefore, x=3.
M=midpoint?
To find midpoint subtract the numbers
5-3=2