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
Answer: 3360 4200
Step-by-step explanation: First add 4+9 you get 9. Divide 7560 by 9 you get 840. Then you times 840 by 4 you get 3360, Multiply 840 by 5 you get 4200.
Answer:
x=1.65
Step-by-step explanation:
First switch sides
4x-8=3.6-2-3
Then subtract 3.6 - 2 - 3
4x-8=-1.4
Add 8 to both sides
4x-8+8=-1.4+8
simplify
4x=6.6
Divide both sides by 4
4x/4 - 6.6/4
The simplify again
x=1.65
Answer:
y=-3x-2
Step-by-step explanation:
so the line is going down so we know that the slope is going to be negative.
slope is y over x and it looks like every time it goes up 3 and to the right 1 so 3/1 is 3 so the slope is 3 and if the slope has to be negative than the answer is the first one
