Question

the diameter of a cone-shaped container is 4 inches, and its height is 6 inches .How much grater is the volume of a cylinder-shaped container with the same diameter and height?

Answer 1

The radius r used in below equations would equal 2in because it is half the given diameter of 4in.
The volume of the cone would be 
$V = \frac{1}{3} \pi r^2h \\ \\ V = \frac{1}{3} \pi (2in)^2(6in) = 8 \pi\ in^3$

The volume of a cylinder with the same dimensions would be
$V = \pi r^2h \\ V = \pi (2in)^2(6in) = 24 \pi in^3$

The cylinder is 24 - 8 = 16 cubic inches greater.