Finding the volume of a solid

Geometry Level 2

A reinforced concrete pipe culvert is in the shape of a right circular cylinder. It has an outside diameter of 0.9 0.9 meters and a length of 1.5 1.5 meters. Assuming that it has a uniform thickness of 0.07 0.07 meters, find the volume (in cubic meters) of the solid correct to three decimal places.

Use π = 3.1416 \pi=3.1416


The answer is 0.274.

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1 solution

The volume of a right circular cylinder is given by: V = π r 2 h V=\pi r^2h

The figure is the difference of two right circular cylinders, so

V = π h ( R 2 − r 2 ) = 3.1416 ( 1.5 ) ( 0.4 5 2 − 0.3 8 2 ) = V=\pi h(R^2-r^2)= 3.1416(1.5)(0.45^2-0.38^2)= 0.274 m 3 \color{#D61F06}\boxed{\large 0.274~m^3}

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