SOLID GEOMETRIC FIGURESGeometryExample:Calculate the volume and surface area of a right circular cone with r= 3", h = 4", andl= 5". Be sure to include the units in your answer.Solution:V = 1/3pr2h SA = pr2+ prlV = 1/3p(3)(3)(4)SA = p(3)(3) + p(3)(5)V = 1.05(36) SA = p(9) + p(15)V = 37.8 cubic inches SA = 28.3 + 47.1 SA = 528/7 = 75-3/7 square inchesRightCircularCylinderFigure 18 Right Circular CylinderA rightcircularcylinder is a cylinder whose base isperpendicular to its sides. Facility equipment, such asthe reactor vessel, oil storage tanks, and water storagetanks, is often of this type.The volume of a right circular cylinder is calculatedusing the following formula:V = pr2h(3-19)The surface area of a right circular cylinder is calculatedusing the following formula:SA = 2prh+ 2pr2(3-20)The surface area of a right circular cylinder is expressed in square units, and the volume of aright circular cylinder is expressed in cubic units.Example:Calculate the volume and surface area of a right circular cylinder with r = 3" andh = 4". Be sure to include units in your answer.Solution:V = pr2hSA = 2prh+ 2pr2V = p(3)(3)(4) SA = 2p(3)(4) + 2p(3)(3)V = p(36) SA = 2p(12) + 2p(9) V = 113.1 cubic inches SA = 132 square inchesMA-03 Page 16Rev. 0
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