11.4 - Volume of a Sphere
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Practice Questions
Test your understanding with targeted questions
What is the volume of a sphere with a radius of 3 cm?
💡 Hint: Use the formula \\( \\frac{4}{3} \\pi r^3 \\).
Calculate the volume of a hemisphere with a radius of 4 cm.
💡 Hint: You need the hemisphere volume formula, \\( \\frac{2}{3} \\pi r^3 \\).
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Interactive Quizzes
Quick quizzes to reinforce your learning
What formula gives the volume of a sphere?
💡 Hint: Remember the formula we discussed earlier.
True or False: A hemisphere has the same volume as a quarter of a sphere.
💡 Hint: Think about how a hemisphere relates to a whole sphere.
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Challenge Problems
Push your limits with advanced challenges
Given a sphere with a radius of 10 cm, calculate how much more water it would displace if we replace it with a sphere of 15 cm radius.
💡 Hint: Use the volume formula for both spheres and find their difference.
A hemispherical water tank has a diameter of 6 m. If it is fully filled with water, how many liters of water does it hold? (1 m³ = 1000 liters)
💡 Hint: Calculate the radius from the diameter and use the hemisphere volume formula.
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