1. Problem Set #1-21 Geometery Angles, Shapes, Areas and Volumes

2. Problem 1 Calculate the volume of a rectangular solid. Eq: V = l x w x h Sub: V = 25.5 cm x 20.0 cm x 35.0 cm Ans: 17,850 cm^3 * * The use of the caret, ^, symbol in this situation indicates that the number that follows is intended to be an exponent.

3. Problem 2 Calculate the volume of a cylinder. Eq: V =  x r^2 x h * Sub: V = 3.14 x (24 cm / 2)^2 x 50 cm. Ans: V = 22,608 cm^3 * A radius is 1/2 of a given diameter.

4. Problem 3 Calculate the volume of a sphere. Eq: 4 x  x r^3 / 3 Sub: 4 x 3.14 x (10 cm / 2)^3 / 3 Ans: 523.3 cm^3

5. Problem 4 Calculate the volume of a cone. Eq: V =  x r^2 x h / 3 Sub: V = 3.14 x (24 cm / 2)^2 x 48 cm / 3 Ans: V = 7,234 cm^3

6. Problem 5 Calculate the radius of a sphere. Eq: V = 4 x  x r^3 / 3 and r = (3 x V / 4 x  )^(1/3) Sub: r = (3 x 1000 cm^3 / 4 x 3.14)^(1/3) Ans: 6.20455 cm Note: in some graphing calculators we suggest the use of the parentheses as in r = ((3*1000)/(4*  ))^(1/3)