Practice Sphere (9) - 3D Geometry - IB 10 Mathematics

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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 definition of a sphere?
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Think about the shape of a basketball.
Question 2.
What is the formula for the equation of a sphere?
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Remember the terms: center and radius.
3Question 3.
What is the equation of a sphere with center (0, 0, 0) and radius 1?
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Begin with the standard formula.
4Question 4.
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
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Think about the formula for the volume of a sphere.
Question 5.
Given the equation of a sphere $(x+2)^2 + (y-4)^2 + (z+5)^2 = 36$ , find the center and radius.
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Identify h, k, l from the standard equation.
Question 6.
A sphere has a radius of 10. Calculate the surface area and the volume.
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Use the formulas for surface area and volume.

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