Volume of Prisms, Cylinders, Cones, and Spheres

Rectangular prism (box): V = lwh Cube: V = s^3 Cylinder: V = pi r^2 h Cone: V = frac{1}{3}pi r^2 h Sphere: V = frac{4}{3}pi r^3 Pyramid: V = frac{1}{3}Bh (where B = area of base) Notice the pattern: a cone is frac{1}{3} of a cylinder, and a pyramid is frac{1}{3} of a prism.

Example: A cylinder has radius 5 cm and height 10 cm. What is its volume?