A cone and a pyramid are both 3 inches in height. If the radius of the base of the cone is 4 in and the a side of the square base of the pyramid is 2π in, which has the larger volume?

Pyramid=1/3 (hside^2)

h=3 for both

side for pyramid is 2pi

pyramid=1/3 (3 (2pi) ^2)

pyramid=4pi^2

cone=1/3hpir^2

h=3

r=4

cone=1/3 (3) (pi4^2)

cone=pi16

cone=16pi

16pi compared to 4pi^2

divide both sides by 4pi

4 compared to pi

4>pi because pi is about 3.14

so cone has larger volume