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SashulF [63]
2 years ago
10

Write the equation in spherical coordinates. (a) x2 y2 z2 = 64

Mathematics
1 answer:
vekshin12 years ago
8 0

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

<h3>How to rewrite the equation in spherical coordinates?</h3>

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

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Answer:

Slope: -1/2

Y-intercept: -3

7 0
3 years ago
HELP URGENT. The following sphere has a diameter of 18 cm. What is the volume of the sphere? Use 3.14 for and round your answer
Trava [24]

The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

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

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

  • Diameter of the sphere d = 18cm
  • Radius r = d/2 = 18cm/2 = 9cm
  • Constant pi π = 3.14
  • Volume V = ?

V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

#SPJ1

6 0
2 years ago
What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.
EastWind [94]

Answer:

128 inches squared

Step-by-step explanation:

7 0
3 years ago
To place a picture in his class newspaper,Joaquin must reduce the picture by a scale factor of 0.3 . Find the dimensions of the
-BARSIC- [3]
What you must do for this case is multiply each dimension by the reduction factor.
 We have then:
 For the width:
 w = (15) * (0.3)
 w = 4.5
 For the height:
 h = (10) * (0.3)
 h = 3
 answer:
 the dimensions of the reduced picture is
 w = 4.5 cm
h = 3 cm
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3 years ago
What is the solution of the equation? -10+/x+8=-4
Phoenix [80]
The answer correct response for this x=-32
4 0
3 years ago
Read 2 more answers
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