Question

How does the volume of a cone change when the radius is quadrupled and the height id reduced to 1/5 of the original size?

Answer 1

Volume of cone = V = 1/3 (pi) (r^2) (h)

New cone = V2 = 1/3 (pi) (4^2 r^2) (1/5 h)

Compare V with V2 and factorize out 1/3 (pi) (r^2) (h) for V2