The volume of a cylinder is:
V=hπr^2
Since we are placing a sphere with a radius of 4.3in within it, for the cylinder, r=4.3 and h=4.3*2=8.6, then the volume function becomes:
V=8.6π(4.3^2)
V=159.014π, and if we approximate π as 3.14 then:
V=159.014(3.14)
V=499.30396 in^3
V≈499.3 in^3 (to nearest tenth of a cubic inch)