The high domes of ancient buildings have structural value. It arises from pressure difference on the two faces dur to curvature (as in soap bubbles). There is a dome of radius 5m and uniform thickness. The surface tension of its masonry structure is about `500 Nm^(-1)`. Treated as hemispherical, calculate the maximum load the done can support.

Explanation

Given `R=5m, T=500Nm^(-1) " Excess pressure P"=(2T)/(R)`
but `P=F/A =(2T)/(R)" "i.e, F=2 T/R A=(2 xx T xx 2piR^(2))/(R)`
`F=4piRT=4 xx 3.142 xx 5 xx 500N`
F=31420 N
i.e, `F=(31420)/(g)=(31420)/(10)" "F=3142kgwt."`