Question

Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 28.26 cubic inches of popcorn. If the height is 19 inches, what is the radius?

Answer 1

1.2 in approx

Explanation:

Given data

Volume of the cone= 28.26 in^3

Height= 19 in

Radius= ????

We know that the volume of the cone is expressed as

V= 1/3πr^2h

substitute

28.26= 1/3*3.142*r^2*19

28.26= 19.89*r^2

divide both sides by 19.89

r^2= 28.26/19.89

r^2= 1.42

r=√ 1.42

r= 1.19

Hence the radius is 1.2 in approx