document.write( "Question 389561: A solid metal model of a rocket is made by fastening a cone of vertical height 49 cm and base radius 18 cm to a circular cylinder of length 192 cm and radius 18 cm. If the mass of the model is 2145 kg, calculate the density of the metal in kg/m^3, giving your answer correct to the nearest whole number. :) \n" ); document.write( "
Algebra.Com's Answer #276347 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A solid metal model of a rocket is made by fastening a cone of vertical height 49 cm and base radius 18 cm to a circular cylinder of length 192 cm and radius 18 cm. If the mass of the model is 2145 kg, calculate the density of the metal in kg/m^3, giving your answer correct to the nearest whole number. :) \n" ); document.write( "... \n" ); document.write( "height of cone = 49cm= 0.49m \n" ); document.write( "base radius = 18 cm = 0.18 m \n" ); document.write( "... \n" ); document.write( "Volume of cone V= 1/3 * pi*r^2*h \n" ); document.write( "V= 1/3 * pi*(0.18)^2*0.49 \n" ); document.write( "V= 0.0166 m^3 \n" ); document.write( "... \n" ); document.write( "Volume of cylinder = pi*r^2*h \n" ); document.write( "r=18cm=0.18m \n" ); document.write( "height = 192 cm = 1.92 m \n" ); document.write( "Volume = pi*(0.18)^2*1.92 \n" ); document.write( "V= 0.195 m^3 \n" ); document.write( "Total volume = 0.0166+0.195 \n" ); document.write( "Volume = 0.211 m^3... \n" ); document.write( "Density = Mass/Volume \n" ); document.write( "Density = 2145/0.211 \n" ); document.write( "Density =10,165kg/m^3 \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |