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Jet001 [13]
2 years ago
13

Can you please help meeeee

Mathematics
2 answers:
nordsb [41]2 years ago
7 0
It’s the first option!!
qwelly [4]2 years ago
7 0

Answer:

use symbolab calculator they will simplify it for you to get the answer

Step-by-step explanation:

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Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16
IrinaVladis [17]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

<h3>What is the volume of the solid?</h3>

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

z = \pm \sqrt{16 - r^2}

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta  \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74

More about the volume of the solid link is given below.

brainly.com/question/23705404

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2 years ago
If 2x+9 &lt; 32, then x could be
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2x + 9 < 32
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3 years ago
There were 81 elk introduced in Missouri in 2012. In 2018, there are about 170 adults. If the population continues to grow linea
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Answer:

there will be 259 elk

Step-by-step explanation:

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A sophomore class sold a total of 700
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Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio
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The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

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3 years ago
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