Solid cylinder of brass 8 m high and 4 m diameter is melted and recast

into a cone of diameter 3 m. Find the height of the cone.

Volume of cylinder = volume of cone

pi * r_{1}^{2} * h_{1} = 1/3 * pi * r_{2}^{2 }*^{ }h_{2}

~~pi~~ * 2^{2 }* 8 = 1/3 * ~~pi~~ * (3/2)^{2 }* h_{2}

h_{2} = (4 * 8 * 3 * 4) / 9 = __42.67 cm__