Acone 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

(1/x + 1)^2 + 6 (1/x + 1) +5