The correct answer is c but i am not sure
Using the formulas here: http://www.1728.org/diamform.htm
A) Volume = <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =
<span>
<span>
<span>
500.0011692175
</span>
</span>
</span>
radius =
<span>
<span>
<span>
22.3607059195
</span>
</span>
</span>
radius (rounded) = 22.4 cm
B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base =
<span>
<span>
<span>
1,570.7963267949
</span>
</span></span><span><span>Area of base (rounded) =
</span>
1,570.8 square cm
</span>
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area =
<span>
<span>
<span>
1,125.9468070466
</span>
</span>
</span>
lateral area =
1,125.9 <span>square cm
D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span>
<span>
<span>
<span>
4,267.5
</span>
</span>
</span>
square cm
After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.
<h3>What is a regular hexagon?</h3>
A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.
Steps to create an inscribed hexagon:
1: The structure needs to adjust the box thickness towards that radius.
2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.
"Set the compass to the radius of the circle" so, option C is correct.
Thus the above answer is correct.
Learn more about inscribed hexagons here:
brainly.com/question/21502832
#SPJ1
Answer:
A
Step-by-step explanation:
The only one going up
we have
we know that
therefore
<u>the answer is</u>
The expression equivalent is 
