The volume of the cylinder is 987.7 cube units
Explanation
given that
height of the cylinder h=5 1/2 feet=11/2 feet
diameter is 2 3/4 times the height
therefore diameter d= h*2[tex]\frac{3}{4}[/tex]=[tex]\frac{11}{2}* \frac{11}{4}[/tex]
=121/8
volume of cylinder=[tex]\pi r^{2}h=3.14*(d/2)^2 *11/2\\[/tex]
=[tex]3.14*((\frac{121/8}{2} )^2 *11/2\\=[/tex]
=987.7 cube units
