10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

CA Geometry Standard 9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

Theorem 10-7 Volume of a Cylinder Base Area Radius Volume Base Area Height h Base Area Radius

#3 Finding the Volume of a Cylinder Find the volume of a cylinder with height 10 cm and radius 5cm. 5 cm 10 cm

#4 Finding the Volume of a Cylinder Find the volume of the cylinder. 9 ft 6 ft

Theorem 10-9 Volume of a Cone Volume Height Base Area

#6 Finding the Volume of a Cone The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume.

Theorem 10-9 Volume of a Sphere 4 3 V = r3

Theorem 10-9 Volume of a Sphere 4 3 V = r3

Theorem 10-9 Volume of a Sphere 4 3 V = r3 4 in.