Explanation Refer Fig.P5.99. The volume of the frustum is the difference between the volumes of the larger and the smaller cones as shown in figure 1. From the use of similar triangles, h 1 h 1 + 60 = 40 mm 50 mm h 1 = 240 mm h 2 = ( 240 mm ) + ( 60 mm ) = 300 mm Write the expression for the volume of cone. V = π 3 r 2 h Here r is the radius of the cone, V is the volume of the cone and h is the height of the cone. Calculate the values as shown in the table. V (Volume) ( mm 3 ) y ¯ ( mm ) y ¯ V ( mm 3 ) Larger cone π 3 ( 50 mm ) 2 ( 300 mm ) = 250000 π 300 mm 4 = 75 18750000 π Smaller cone − π 3 ( 40 mm )

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ISBN: 9781259977268

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek

Publisher: McGraw-Hill Education

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Chapter 5.4, Problem 5.99P

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To locate the centroid of the frustum.

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Chapter 5.4, Problem 5.98P

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To locate the centroid of the frustum.

Solution Summary: The author explains that the volume of the frustum is the difference between the volumes of larger and smaller cones as shown in figure 1.

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