Question

A sphere fits snugly within a right cylinder.

If the radius of the sphere is 4.3 inches, what is the volume of the cylinder? Round your answer to the nearest tenth, and round π to 3.14 in your calculations.

Answer 1

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)