How many Perpendicular lines does an H have
1 answer:
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Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
Answer:
1.875\pi square units
Step-by-step explanation:
We know that area of a circle is pi r square.
The sector has a proportional area according to the angle it subtends at the centre.
Here we have a circle of radius 3 inches with central angle 75 degrees.
Total angle of a circle = 360
Area of the given sector = Area of yellow shaded=