This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.
Area of a sphere = 4 π R² (just happens to be the area of 4 great circles)
Volume of a sphere = (4/3) π R³
We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius. Then, once we know the
radius, we can use the second formula to find its volume.
Area of 4 great circles = 4 π R²
Area of ONE great circle = π R²
225 π cm² = π R²
R² = 225 cm²
R = √225cm² = 15 cm .
Now we have a number for R, so off we go to the formula for volume.
Volume = (4/3) π R³
= (4/3) π (15 cm)³
= (4/3) π (3,375 cm³)
= 14,137.17 cm³ (rounded)
This answer feels very good UNTIL you look at the choices.
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I've gone around several loops and twists trying to find out what gives here,
but have come up dry.
The only thing I found is the possibility of a misprint in the question:
If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².
I'm sure this is not the discrepancy. I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
Answer: The variable in the vertical axis (or y-axis) is the output
The variable in the horizontal axis (or x-axis) is the input.
Step-by-step explanation:
Usually, a graph of a function y = f(x) is represented in an X-Y coordinate axis.
An X-Y coordinate axis is conformed by two perpendicular lines, one vertical (y-axis) and one horizontal (x-axis)
The vertical axis (or the y-axis) is the output, and the horizontal axis (or the x-axis) is the input.
This method will work almost always, as is standardized that the x-axis corresponds to the input, and the y-axis corresponds to the output.
16-6=10
2.5x=10
Divide by 2.5
X=4
So Corey can make 4 batches of cookies
is 9/8 so its 3 poles