What you’ll learn
Calculate cylinder volume.
Key idea
Cylinder volume multiplies circular base area by perpendicular height; diameter is neither radius nor generally height.
Square the radius for base area; use perpendicular height and distinguish cubic volume units from linear inverse units.
Worked example
Enter the exact value or ordered values in the format requested below.
Right circular cylinder radius 3 cm,height 4 cm. Enter exact volume as a pi expression, with cm³ understood; omit the unit.
- Circular base area=π×3²=9π cm².
- Volume=base area×perpendicular height=9π×4=36π cm³; inverse height=36/9=4 cm.
Answer: 36π
Quick Check
Evaluate a worked attempt at calculate cylinder volume, identify the first invalid step, and provide the correction.
Cylinder radius 5 cm,height 3 cm: Step 1 gives base area 25π cm². Step 2 multiplies by diameter 10 to report 250π cm³. Locate the first invalid step and correct volume.