GeometrySOLID GEOMETRIC FIGURESThe volume of a sphere is calculated using the followingFigure 16 Sphereformula:V =4/3pr3(3-15)The surface area of a sphere is calculated using thefollowing formula:SA = 4pr2(3-16)The surface area of a sphere is expressed in square units,and the volume of a sphere is expressed in cubic units.Example:Calculate the volume and surface area of a sphere with r = 4". Be sure to include unitsin your answer.Solution:V = 4/3pr3SA = 4pr2V = 4/3p(4)(4)(4)SA = 4p(4)(4)V = 4.2(64)SA = 12.6(16)V = 268.8 cubic inchesSA = 201.6 square inchesRightCircularConeFigure 17 Right Circular ConeA right circular cone is a cone whose axis is a linesegment joining the vertex to the midpoint of the circularbase, as shown in Figure 17.The volume of a right circular cone is calculated usingthe following formula:V = 1/3pr2h(3-17)The surface area of a right circular cone is calculatedusing the following formula:SA = pr2+ prl(3-18)The surface area of a right circular cone is expressed in square units, and the volume of a rightcircular cone is expressed in cubic units.Rev. 0 Page 15 MA-03
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