Practice Cylinder (10.1) - 3D Geometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Cylinder

Practice - Cylinder

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the equation of a right circular cylinder with radius 3?

💡 Hint: Use the formula $x^2 + y^2 = r^2$.

Question 2 Easy

Describe what happens to the shape if the radius decreases.

💡 Hint: Think about how the radius relates to the overall size of circles.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

The equation $x^2 + y^2 = 16$ represents a cylinder. What is its radius?

2
4
6

💡 Hint: Recall the relationship between radius and the equation.

Question 2

A right circular cylinder is also known as what?

True - A Cone
False - A Rectangular Prism

💡 Hint: Remember the properties that differentiate these shapes.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A cylinder's height is tripled, but its radius remains constant. Describe how this changes its volume.

💡 Hint: Apply the volume formula: $V = ext{Base Area} \\times ext{Height}$.

Challenge 2 Hard

If two cylinders have the same diameter but one is twice as tall as the other, how does their volume compare?

💡 Hint: Use the volume formula to reason through the comparison.

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Reference links

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