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CLASS 9 · LEARNING KNOWLEDGE

Cylinder and Cone

How it works

A cylinder has a circular base. A cone with the same base area and height has one third of the cylinder's volume. The vertical height must not be confused with the slant height.

Note
Cylinder V=πr²h; Cone V=πr²h/3; Cylinder O=2πr²+2πrh.

An example

A cylinder has radius 3 cm and height 5 cm. Calculate the volume using π without intermediate rounding. Round to two decimal places. Give the result in cm³.

V = π r² h = π · 3² · 5. Result: 141.37 cm³.

Try it yourself now

50 Exercises · three difficulty levels · selection and number input

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Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.