Student Worksheet, Geometry Activity 1

1. Write an expression for the area of a circle as a function of its circumference.

2. Write an expression for the perimeter of a square as a function of its area.

3. If the volume of a right circular cylinder is 400π cubic units, write an expression for its lateral surface area as a function of its radius.

4. Water is being stored in a conical tank with height 12 feet and base diameter 8 feet. Write an expression for the volume of water in the conical tank as a function of h, the height of the water in the tank.

5. Water is being stored in a cylindrical tank that has a base with area 900π square feet. Write an expression for the volume of water in the cylindrical tank as a function of h, the height of the water in the tank.

6. Write an expression for the area of an equilateral triangle as a function of the length of one of its sides.

7. Write an expression for the area of a circle as a function of its diameter.

8. Write an expression for the surface area of a sphere as a function of its volume.

9. Write an expression for the volume of a cube as a function of its surface area.

10. If the area of the base of a cone is 25π square units, express the volume of the cone as a function of its height.