Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm => 12 in = 30.48cm 4 in = 10.16cm 14 in = 35.56cm Since both of the figures are cylinders, we have to find them one by one Find the volume of the upper cylinder Formula: V = pi*r^2*h We know, pi = 3, radius = diameter of base/2 => r = 30.48cm/2 = 15.24cm height = 30.48cm We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder Formula: V = pi*r^2*h We know, pi = 3, radius = diameter of base/2 => r = 35.56cm/2 = 17.78cm height = 10.16cm We get V = 3*(17.78)^2*10.16 = 9635.6cm^3 Therefore, the volume of the object is V = 21237.6cm^3 + 9635.6cm^3 = 30873.2cm^3.