Quantcast Right  Circular  Cylinder

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SOLID GEOMETRIC FIGURES Geometry Example: Calculate the volume and surface area of a right circular cone with r =   3", h = 4", and l = 5".   Be sure to include the units in your answer. Solution: = 1/3pr2h SA  = pr2 + prl = 1/3p(3)(3)(4) SA  = p(3)(3) + p(3)(5) = 1.05(36) SA  = p(9) + p(15) = 37.8 cubic inches SA  = 28.3 + 47.1 SA  = 528/7 = 75-3/7 square inches Right  Circular  Cylinder Figure 18     Right Circular Cylinder A  right  circular  cylinder  is  a  cylinder  whose  base  is perpendicular  to  its  sides.   Facility  equipment,  such as the  reactor  vessel,  oil  storage  tanks,  and  water  storage tanks, is often of this type. The  volume  of  a  right  circular  cylinder  is  calculated using the following formula: = pr2h (3-19) The surface area of a right circular cylinder is calculated using 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 a right circular cylinder is expressed in cubic units. Example: Calculate the volume and surface area of a right circular cylinder with  r = 3" and h = 4".   Be sure to include units in your answer. Solution: = pr2h SA  = 2prh   + 2pr2 = p(3)(3)(4) SA  = 2p(3)(4) + 2p(3)(3) = p(36) SA  = 2p(12) + 2p(9) = 113.1 cubic inches SA  = 132 square inches MA-03 Page 16 Rev. 0



 


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