How many iron rods of length 7m and dia 2cm can be made from the .88 cubic meter of metal?

Question

2 solid spheres of radius 3 m, 3 solid cylinder of radius 2 m, height 3 meter and 2 solid cones of radius 2 m, height 4 m are melted to form a bigger solid sphere. What is the radius of this bigger solid sphere in meters?

Answer 1

Volume of each rod = Pi * r * r * l
r = 2cm/2 i.e. 1cm or .01 m
l = 7

So volume of rod = (22/7) * .01 *.01 * 7 = .0022 cubic m

Metal volume = .88

Number of possible rod = .88/.0022 = 400

Answer: 400 rods are possible

Answer 2

40000....because 0.88 m cube=880000 cm cube, hence number of rods = 880000/22=40000 since vol of one rod= pi*4*7/4=22 cm cube