What you’ll learn
Apply cylinder volume.
Key idea
A cylinder volume is circular base area times height; circle area uses radius squared.
Square true radius in base area and multiply by perpendicular height.
Worked example
Enter the exact value or ordered values in the format requested below.
A right circular cylinder has diameter 4 cm and height 9 cm. Find exact volume in cubic cm as a multiple of pi, without a unit suffix.
- The true radius is 2, giving circular base area 4π square cm.
- Volume=4π*9=36π cubic cm.
Answer: 36π
Quick Check
Evaluate a worked attempt at apply cylinder volume, identify the first invalid step, and provide the correction.
A cylinder has radius 3 and height 11. Student Step 1 obtains radius 3 but uses base area pi*radius=3π. Step 2 gives volume 33π. Locate the first invalid step and correct volume.