a solid metal rocket is made by fastening a cone of vertical height 49cm and base radius 18cm to a circular cylinder of length 192cm and radius 18cm. if the mass of the model is 2145kg, calculate the density of the metal in kg/m^3, giving your answer correct to the nearest whole number.

Question

anonymous · Answer

Hey. I will be giving you the way of doing this problem. You know the formula of volume of a cone and cylinder.??

insa · Answer

yup

anonymous · Answer

formula of volume of a cone and cylinder= V=1/3b.h

insa · Answer

@shereenkhan  i know the formula i have the problem just with calculating the density

anonymous · Answer

okay.

paki · Answer

Volume of cone V= 1/3 * pi*r^2*h.... 
V= 1/3 * pi*(0.18)^2*0.49
V= 0.0166 m^3 ===> here first convert height and base into metre, from cm first, as we need our answer in kg/m3....

paki · Answer

@insa

paki · Answer

now find the Volume of cylinder, by the relation... = pi*r^2*h...

paki · Answer

volume= pi*r^2*h... 
Volume = pi*(0.18)^2*1.92
V= 0.195 m^3

anonymous · Answer

i think the density of the metal is 10156.25 kg/m^3.

insa · Answer

i knw this, i have just the problem with density how to calculate that?

anonymous · Answer

density = mass/volume.
here it is 2145kg/.2112m^3=10156.25kg/m^3

insa · Answer

thx everyone

paki · Answer

pleasure... @insa