Question
A wooden cylinder of base radius 14 cm is cut to make a
cone of same height and same base radius. Find out the percentage of waste wood?Solution
Radius of cylinder = 14 cm Let the height of the cylinder = h cm Radius of cone = Radius of cylinder = 14 cm Height of a cone = height of cylinder = h cm Volume of cylinder = π r²h ( Volume of wood ) Volume of cone = 1/3 π r²h Quantity of waste wood = ( Volume of cylinder ) - ( Volume of cone ) = π r²h - 1/3 π r²h ( By dividing equation from π r²h ) = 1 - 1/3 = 2/3 Percentage of waste wood = 2/3 x 100 = 66.66%
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