volume of cone varies jointly as square of its radius and its height if volume of a cone is 27pie cubic inches when radius is 3 inches and height is 9 inches find volume of a cone when radius is 4 inches and height is 3 inches

Answer 1

According to the statement
V = k r^2 h , (we all know that k = (1/3)π )

when V = 27π, r = 3 and h = 9

27π = k(9)(9)
k = 27π/81 = (1/3)π , (see, I told you)

V = (1/3)π r^2 h
when r = 4, h = 3

V = (1/3)π (16)(3) = 16π cubic inches.