A coffee mug has a circumference of 37.68 inches and height of 5 inches. What is the volume of the mug?

Answer 1

volume = V = height times area of top = h(2rpi) where r = radius

circumference = 2rpi = 37.68

r = 37.68/2pi = almost exactly 6, 37.68/3.14 = 6

area of top =2pi(r)^2 = 2pi x 36 = 72pi = 226.1 square inches

V = hA = 5x72pi = 360pi = 5x226.1 = 1131 cubic inches