AIR MATH

Math Question

Let the region \( \mathrm{R} \) be the area enclosed by the function \( f(x)=\ln (x)+1 \) and \( g(x)=\frac{3}{4} x-1 \). If the region \( \mathrm{R} \) is the base of a solid such that each cross section perpendicular to the \( x \)-axis is a semi-circle with diameters extending through the region \( R \), find the volume of the solid. You may use a calculator and round to the nearest thousandth.

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