Question

A square with an area of 196 square inches is rotated about one of its edges, creating a three-dimensional object. Find the volume, in terms of pi, of the object that it created.(1 point)
Responses

3,659π in.3

3,659 pi inch cubed

2,744π in.3

2,744 pi inch cubed

686π in.3

686 pi inch cubed

915π in.^3

Answer 1

Side = sqrt(196) = 14 in. Rotating the square about one edge produces a cylinder of radius 14 in and height 14 in. Volume = πr^2h = π(14)^2(14) = 2744π in^3.

Answer: 2744π in.^3