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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a sphere?
💡 Hint: Think about the shape of a basketball.
Question 2
Easy
What is the formula for the equation of a sphere?
💡 Hint: Remember the terms: center and radius.
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 is the equation of a sphere with center (0, 0, 0) and radius 1?
💡 Hint: Begin with the standard formula.
Question 2
A sphere's radius is doubled. How does the volume change?
- It remains the same
- It doubles
- It triples
- It increases by a factor of eight
💡 Hint: Think about the formula for the volume of a sphere.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the equation of a sphere $$(x+2)^2 + (y-4)^2 + (z+5)^2 = 36$$, find the center and radius.
💡 Hint: Identify h, k, l from the standard equation.
Question 2
A sphere has a radius of 10. Calculate the surface area and the volume.
💡 Hint: Use the formulas for surface area and volume.
Challenge and get performance evaluation