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Blababa [14]
2 years ago
6

Sue had a circular picture that she wanted to frame. If the picture's frame diameter was

Mathematics
1 answer:
sesenic [268]2 years ago
7 0
Sue had 7.5 inches framing
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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

#SPJ4

7 0
2 years ago
Which is the graph of the parent absolute value function?
VARVARA [1.3K]
Absolute Value's parent function is the third graph
5 0
3 years ago
What is the value of h(2)? -2,-1,0,3
kobusy [5.1K]

Answer:

Step-by-step explanation:

Not sure what you mean...

maybe h(2)

-4, -2, 0, 6

4 0
3 years ago
36 + 42 = 6(6 + 口)<br> what unknown number makes this equation true
NARA [144]

Answer: 42

Step-by-step explanation:

36+42 = 78

6(6) =36+42 (like in the equation) =78

8 0
3 years ago
Find the sum of (5x3 + 3x2 - 5x + 4) and (8x3 -5x2 + 8x + 9)
Gre4nikov [31]
1) (15+6-5x+4)
= 25-5x
= 5(5-x)

2) (24-10+8x+9)
= 23+8x
7 0
3 years ago
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