Answer:
3 grams
Step-by-step explanation:
Answer:
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = ![k(\sqrt[3]{x})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7Bx%7D%29)
Since, the given function passes through (1, 2)
g(1) = ![k(\sqrt[3]{1})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7B1%7D%29)
= 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) =
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:
410? I don't know. Sorry if it is wrong.
Reflexive Property=For all real number X,X=X
A number equals itself
Addition Property=For all real number X,y & Z,. if
X=Y then X+y=y+Z
Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.
