Compute the Volumes and Surface Areas of Cylinders, Pyramids, Cones, and Spheres

(A) Describe the volume formula V = Bh of a cylinder in terms of its base area and its height

(B) Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas

(A) Solve problems involving the volume of cylinders, cones, and spheres

(B) Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders

(Y10A) Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (ACMMG271)

(Y11-12) Use formulas to find the volume and capacity of regular objects such as cubes, rectangular and triangular prisms and cylinders (ACMEM103)

(Y11-12) Use formulas to find the volume of pyramids and spheres (ACMEM104)

HSG.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*