Answer to Question #162999 in Mechanics | Relativity for Sage Topaz

Question

A certain anchor is being made by pouring concrete into a cylindrical mold whose radius is 46 cm. How thick should the concrete be in order that the anchor has a mass of 1,200 kg?

Answer 1

$solution$

$NB.$ The anchor is being made by pouring concrete which forms a cylindrical mold.

radius of the concrete$=0.46m$

mass of the concrete$=1200kg$

density of the concrete$=2,400kg/m^3$

Now from the above values, we can find the volume of the anchor which will be equal to that of the anchor.

from $\rho=M/\nu$

$\nu=\Mu/\rho$

$\nu=$ $1200/2400$

$\nu=$ $0.5m^3$

The thickness of the concrete can be found because it is cylindrical in shape using the formula below.

$\nu=\pi r^2 h$

where $h=thickness$ $of$ $the$ $concrete$

$0.5=3.142*(0.46^2$$)*h$

$h=0.5/0.6648472$

$h=0.7521m$