mary wants to fill in a cylinder vase at the flower store they told her that the vase should be filled 3/4 for the flowers to last longer. het cylinder vase has a radius of 4inches and a height of 10 inches. how much water should mary pour into the vase?

The radius of the cylindrical vase is given to be 4 inches. Let us call it [tex] r [/tex]. Thus, [tex] r=4 [/tex]Likewise, the height of the cylinder is given to be 10 inches. Thus, [tex] h=10 [/tex].Now, we know that the volume of any cylinder is given by:[tex] Volume=\pi r^{2}h [/tex]Mary has been told that the vase should be filled 3/4.Thus, 3/4th of the volume of the cylindrical vase will be:[tex] Volume_{\frac{3}{4}} =\frac{3}{4}\pi r^2 h [/tex]which in our case will become:[tex] Volume_{\frac{3}{4}} =\frac{3}{4}\pi (4)^2 \times 10\approx377 [/tex] Thus, the required volume of water to be filled is 377 [tex] in^3 [/tex]