Practice Equation of a Sphere - 9.2 | 7. 3D Geometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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9.2 - Equation of a Sphere

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the equation of a sphere with center at (0, 0, 0) and radius 1?

💡 Hint: Use the simplest form of the sphere equation.

Question 2

Easy

If a sphere has a center at (1, 1, 1) and radius 2, what is its equation?

💡 Hint: Plug the values of the center and radius into the standard equation.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the variable 'r' represent in the equation of a sphere?

  • Center Coordinates
  • Radius
  • Diameter

💡 Hint: Think about what defines the size of the sphere.

Question 2

True or False: The equation of a sphere can only be expressed when the center is at the origin.

  • True
  • False

💡 Hint: Consider different center points.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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?

💡 Hint: Use the center and radius to find how far the sphere extends from the center towards each axis.

Question 2

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.

💡 Hint: Focus on the signs before each component in the equation as they correspond to the center's location.

Challenge and get performance evaluation