The answer is: " 128π in³ " .
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Note: The formula/equation for the volume of a cylinder is:
V = Base area * height.
The base area is a circle: A = π r² ; r= radius;
So , the formula/ equation for the volume of a cylinder is:
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V = π r² * h ; (h = "height").
Given: r = radius = 4 in. (given) ;
r² = (4 in.)² = (4 in.)*(4 in.) = 16 in.² .
h = height = 8 in. (given).
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V = π r² * h ;
V = π * 16 in² * 8 in. ;
V = π * 128 * in² * in. ;
V = 128 π in³ .
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<span><span>|3−x|</span>=8
</span><span><span>|<span>−x+3</span>|</span>=8</span>Solve Absolute Value.<span><span>|<span>−x+3</span>|</span>=8
</span>We know either <span><span>−x+3</span>=8 </span>or<span><span>−x+3</span>=−8</span><span><span>−x+3</span>=8 </span>(Possibility 1) <span><span><span>−x+3</span>−3</span>=8−3 </span>(Subtract 3 from both sides)<span>−x=5</span>−x−1=5−1 <span>
</span><span><span> </span></span>(Divide both sides by -1) <span>x=−5</span><span><span>−x+3</span>=−8 </span>(Possibility 2) <span><span><span>−x+3</span>−3</span>=<span>−8−3 </span></span>(Subtract 3 from both sides) <span>−x=−11</span><span><span>−x−1</span>=<span>−11−1 </span></span>(Divide both sides by -1)x=11Answer:<span><span>x=<span>−<span><span>5 or </span>x</span></span></span>=<span>11
(math papa) </span></span>