options: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Understand similarity in terms of similarity transformations.

Find arc lengths and areas of sectors of circles.

Understand congruence in terms of rigid motions.

Prove geometric theorems.

Reason with shapes and their attributes.

Experiment with transformations in the plane.

Explain volume formulas and use them to solve problems.

Make geometric constructions.

Apply geometric concepts in modeling situations.

Use coordinates to prove simple geometric theorems algebraically.

Understand and apply the Pythagorean Theorem.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Apply trigonometry to general triangles.

Visualize relationships between two-dimensional and three-dimensional objects.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

Analyze, compare, create, and compose shapes.

Solve real-world and mathematical problems involving area, surface area, and volume.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Classify two-dimensional figures into categories based on their properties.

Translate between the geometric description and the equation for a conic section.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Understand and apply theorems about circles.
problem_activity: Task
A rectangular tank is $24\text{ cm}$ wide, and $30\text{ cm}$ long.  It contains a stone and is filled with water to a height of $8\text{ cm}$.  When Amy pulls the stone out of the tank, the height of the water drops to $6\text{ cm}$.  Find the volume of the stone.
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correct_option_index: 19