In this topic, students will:
find the surface areas of cylinders, cones, and spheres
recognize the relationship between the volume of a rectangular prism and the volume of a cylinder
solve real-world problems involving the volume of a cylinder
use the formula for the volume of a cylinder to find an unknown measure
recognize the relationship between the volume of a cylinder and the volume of a cone
use the Pythagorean Theorem when solving volume problems
find the volume of a cone. Given the circumference of the base, find the volume of a cone
recognize the relationship between the volume of a cone and the volume of a sphere
find the volume of a sphere. Given the surface area, find the volume of a sphere
find the volume of a composite figure
Vocabulary:
Cone - a three-dimensional figure that has a circular base and slanted sides that come to a point at the top (vertex).Â
Cylinder - a three-dimensional figure with two identical circular bases
Sphere - the set of all points in space that are the same distance from a center point
Composite figure - the combination of two or more figures into one object