Connect word problems, pictures, and the formula for the volume of a cylinder in this activity.
GT.2: Investigate 2D shapes and 3D solids: [br]- a. Draw and interpret scaled diagrams. [br]- b. Draw and interpret nets of rectangular solids, prisms, cylinders. [br]- c. Find perimeter, area of plane figures (discs, triangles, rectangles), operations involving π. [br]- d. Calculate volume (rectangular solids, cylinders, prisms, spheres), operations involving π. [br][b]- e. Determine surface area (rectangular solids, cylinders, prisms, spheres).[/b]
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
When you increase the value of the radius, how does the volume change?
When you increase the value of the height, how does the volume change?
Which has a greater effect on the value of the volume: the radius or the height? Why?