Volume of Cylinders, Cones & Spheres

What you’ll learn

• Cylinder volume is $V=\pi r^2 h$ where $r$ is the base radius and $h$ is the perpendicular height between circular faces.
• Cone volume is $V=\frac{1}{3}\pi r^2 h$, exactly one-third of a cylinder with the same base radius and height.
• Sphere volume is $V=\frac{4}{3}\pi r^3$; convert diameter to radius with $r=\frac{d}{2}$ before substituting.
• Always express answers in cubic units and label whether you leave $\pi$ in the answer or use a decimal approximation.
• Sketching the solid and marking $r$ and $h$ prevents confusing slant height with vertical height on cones.