Practice Equation Of A Sphere (9.2) - 3D Geometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry

Practice: Equation of a Sphere

Lesson 9.23D Geometry

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the equation of a sphere with center at (0, 0, 0) and radius 1?
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Use the simplest form of the sphere equation.
Question 2.
If a sphere has a center at (1, 1, 1) and radius 2, what is its equation?
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Plug the values of the center and radius into the standard equation.
3Question 3.
What does the variable 'r' represent in the equation of a sphere?
- Center Coordinates
- Radius
- Diameter
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Think about what defines the size of the sphere.
4Question 4.
True or False: The equation of a sphere can only be expressed when the center is at the origin.
- True
- False
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Consider different center points.
Question 5.
If a sphere centered at (3, 2, -1) intersects the coordinate axes at certain points, what are these intersection points if the radius is 4?
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Use the center and radius to find how far the sphere extends from the center towards each axis.
Question 6.
Given the equation $(x + 4)^2 + (y - 3)^2 + (z + 7)^2 = 49$ , identify the center and discuss how the sphere would visually appear in 3D space.
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Focus on the signs before each component in the equation as they correspond to the center's location.

5 more questions in this section. Enroll free to practise them all.