Right circular cylinder A has a volume of 2700 cubic inches and radius of 15 inches. Right circular cylinder B is similar to cylinder A and has a volume of 800 cubic inches. Find the radius of cylinder B.

Answer 1

volumes of similar objects have dimensions proportional to length dimension cubed
800/2700 = 8/27 = 2^3/3^3 = (2/3)^3
so (2/3)15= 10 inches radius