The answer is 1. 9 over 9 is a whole, which is one. 1 to the second power is 1. 1 to the 7th power is 1. No matter how many exponents you put on 1, it will always stay one. So the answer is 1.
You have 18 rainy out of 90 total. You need to simplify each term.
18 = 1, 2, 3, 6, 9, 18
90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Now find the largest number that is common. That would be 18. Divide both numbers by 18
18/18 = 1
90/18 = 5
So the simplified ration is 1/5
Hmm well, here an example y=3 ,
<span> y=3 ,</span> rather than the <span><span> x−</span><span> x−</span></span> axis.) Your integrand looks fine and reduces to
<span><span> (9−18sinx+9<span>sin2</span>x) − (9−18cosx+9<span>cos2</span>x)</span><span> (9−18sinx+9<span>sin2</span>x) − (9−18cosx+9<span>cos2</span>x)</span></span>
<span><span>= 18 (cosx−sinx) + 9 (<span>sin2</span>x−<span>cos2</span>x) = 18 (cosx−sinx) − 9 cos2x .</span><span>= 18 (cosx−sinx) + 9 (<span>sin2</span>x−<span>cos2</span>x) = 18 (cosx−sinx) − 9 cos2x .</span></span>
The evaluation of the volume is then
<span><span>π <span><span>[<span> 18 (sinx+cosx) − <span>92</span>sin2x </span>]</span><span>π/4</span>0</span></span><span>π <span><span>[<span> 18 (sinx+cosx) − <span>92</span>sin2x </span>]</span>0<span>π/4</span></span></span></span>
<span><span>= π <span>(<span> [ 18 ( <span><span>2–√</span>2</span>+<span><span>2–√</span>2</span>) − <span>92</span>⋅1 ] − [ 18 (0+1) − <span>92</span>⋅0 ] </span>)</span> </span><span>= π <span>(<span> [ 18 ( <span>22</span>+<span>22</span>) − <span>92</span>⋅1 ] − [ 18 (0+1) − <span>92</span>⋅0 ] </span>)</span> </span></span>
<span><span>= π ( 18<span>2–√</span> − <span>92</span> − 18 ) = π ( 18<span>2–√</span> − <span>452</span> ) or <span><span>9π</span>2</span> ( 4<span>2–√</span> − 5 ) ,</span></span>
Height of the cylinder is 12 inches
Step-by-step explanation:
- Step 1: Find the height of the cylinder given volume = 1356.48 in³ and radius = 6 in.
Volume of the cylinder = πr²h
⇒ 3.14 × 6² × h = 1356.48
⇒ h = 1356.48/3.14 × 36
= 1356.48/113.04 = 12 in