Surface Area =<span> (2 • <span>π <span>• r²) + (2 • <span>π <span>• r • height)
</span></span></span></span></span>
Surface Area =<span> (2 * PI * 6^2) + (2 * PI * 6 * 12)
</span>
<span>Surface Area =<span> (72 * PI) + (144 * PI)
</span></span>
<span><span>Surface Area = </span>216 * PI
</span>
<span><span><span><span>Surface Area = </span>678.584
</span>
</span>
</span>
Answer:
angle = 67°
Step-by-step explanation:
let
a = angle in degrees
(90-a) = complement
given
a = 2(90-a)+21
Solve for a
a = 180 - 2a + 21
3a = 201
a = 67°
You can use a scale factor of 2 to dilate the original and get the final. I got this answer by doing:
y x 6 = 6y (y represents the original rectangle, 6y represents the second rectangle)
then, 6y x 1/3 = 2y (2y represents the final rectangle)
If you compare the original rectangle (y) to the final (2y), you see that the final is 2 times the original, therefore the scale factor is 2
<h2><em><u>6</u></em></h2><h2><em>The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sides</em></h2><h2><em>HOPE IT HELPS </em></h2><h2><em>THANK YOU </em></h2><h2><em></em></h2>
Answer:
1.1783
Step-by-step explanation:
The attached picture shows a cross section of the cylindrical shell that it is convenient to use as a differential of the volume. The radius from the center of revolution is (1-x), so the circumference of the shell is 2π(1-x). Of course, its height is tan(x), so the differential of volume is ...
dV = 2π(1-x)tan(x)
The indefinite integral does not have a nice closed-form solution, but it can be easily integrated numerically from x = 0 to 1 by most scientific and graphing calculators. The attached shows the volume to be about 1.1783 cubic units.