11.3 - Volume of a Right Circular Cone
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Practice Questions
Test your understanding with targeted questions
What is the volume of a cone with a radius of 3 cm and a height of 9 cm?
💡 Hint: Use the formula \\( \\frac{1}{3} \\pi r^2 h \\).
If a cone has a height of 12 cm and a radius of 5 cm, what is its volume?
💡 Hint: Substitute the known values into the formula.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the volume of a cone?
💡 Hint: Think of how the cone's structure relates to a cylinder.
True or False: The volume of a cone is always greater than that of a cylinder with the same height and radius.
💡 Hint: Refer back to our practical activity with the sand.
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Challenge Problems
Push your limits with advanced challenges
A conical reservoir has a height of 5 m and a base diameter of 3 m. If it is filled to a height of 4 m, find the volume of water it holds.
💡 Hint: Use height of water filled for volume calculation.
How much paint is needed to cover the outside of a conical tank 3 m high with a base radius of 1 m?
💡 Hint: Find the surface area before applying paint amounts needed.
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