Question

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?

Answer 1

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

Answer 2

I got the answer of the cone