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Problem Set #1-21

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

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Problem Set #1-21

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  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 = p 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 p 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 = p 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 p x r^3 / 3 • and r = (3 x V / 4 x p)^(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*3.14))^(1/3)

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