Practice Sphere (9) - 3D Geometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Sphere

Practice - Sphere

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

A sphere has a radius of 10. Calculate the surface area and the volume.

💡 Hint: Use the formulas for surface area and volume.

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